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Finding the Third Proportional to 258,430,614.75 and 567,074,199.38

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Solution

The third proportional to 258,430,614.75 and 567,074,199.38 is: 1,244,330,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,430,614.75 : 567,074,199.38 = 567,074,199.38 : x
  2. Step 2: Convert to fraction form
    258,430,614.75/567,074,199.38 = 567,074,199.38/x
  3. Step 3: Cross multiply
    258,430,614.75x = 567,074,199.38 × 567,074,199.38
  4. Step 4: Simplify right side
    258,430,614.75x = 321,573,147,596,797,248
  5. Step 5: Solve for x
    x = 321,573,147,596,797,248/258,430,614.75
  6. Step 6: Final answer
    x = 1,244,330,699.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.