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Finding the Third Proportional to 315,399 and 424,957.50

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Solution

The third proportional to 315,399 and 424,957.50 is: 572,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,399 : 424,957.50 = 424,957.50 : x
  2. Step 2: Convert to fraction form
    315,399/424,957.50 = 424,957.50/x
  3. Step 3: Cross multiply
    315,399x = 424,957.50 × 424,957.50
  4. Step 4: Simplify right side
    315,399x = 180,588,876,806.25
  5. Step 5: Solve for x
    x = 180,588,876,806.25/315,399
  6. Step 6: Final answer
    x = 572,572.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.