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Finding the Third Proportional to 331,627.50 and 710,569.13

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Solution

The third proportional to 331,627.50 and 710,569.13 is: 1,522,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,627.50 : 710,569.13 = 710,569.13 : x
  2. Step 2: Convert to fraction form
    331,627.50/710,569.13 = 710,569.13/x
  3. Step 3: Cross multiply
    331,627.50x = 710,569.13 × 710,569.13
  4. Step 4: Simplify right side
    331,627.50x = 504,908,481,403.27
  5. Step 5: Solve for x
    x = 504,908,481,403.27/331,627.50
  6. Step 6: Final answer
    x = 1,522,516.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.