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Finding the Third Proportional to 258,430,632 and 567,074,240

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Solution

The third proportional to 258,430,632 and 567,074,240 is: 1,244,330,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,430,632 : 567,074,240 = 567,074,240 : x
  2. Step 2: Convert to fraction form
    258,430,632/567,074,240 = 567,074,240/x
  3. Step 3: Cross multiply
    258,430,632x = 567,074,240 × 567,074,240
  4. Step 4: Simplify right side
    258,430,632x = 321,573,193,671,577,600
  5. Step 5: Solve for x
    x = 321,573,193,671,577,600/258,430,632
  6. Step 6: Final answer
    x = 1,244,330,794.62

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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.