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Finding the Third Proportional to 328,849.88 and 710,157.38

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Solution

The third proportional to 328,849.88 and 710,157.38 is: 1,533,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,849.88 : 710,157.38 = 710,157.38 : x
  2. Step 2: Convert to fraction form
    328,849.88/710,157.38 = 710,157.38/x
  3. Step 3: Cross multiply
    328,849.88x = 710,157.38 × 710,157.38
  4. Step 4: Simplify right side
    328,849.88x = 504,323,497,266.89
  5. Step 5: Solve for x
    x = 504,323,497,266.89/328,849.88
  6. Step 6: Final answer
    x = 1,533,597.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.