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Finding the Third Proportional to 602,913.50 and 959,720.50

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Solution

The third proportional to 602,913.50 and 959,720.50 is: 1,527,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,913.50 : 959,720.50 = 959,720.50 : x
  2. Step 2: Convert to fraction form
    602,913.50/959,720.50 = 959,720.50/x
  3. Step 3: Cross multiply
    602,913.50x = 959,720.50 × 959,720.50
  4. Step 4: Simplify right side
    602,913.50x = 921,063,438,120.25
  5. Step 5: Solve for x
    x = 921,063,438,120.25/602,913.50
  6. Step 6: Final answer
    x = 1,527,687.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.