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Finding the Third Proportional to 466,632 and 732,127.50

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Solution

The third proportional to 466,632 and 732,127.50 is: 1,148,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,632 : 732,127.50 = 732,127.50 : x
  2. Step 2: Convert to fraction form
    466,632/732,127.50 = 732,127.50/x
  3. Step 3: Cross multiply
    466,632x = 732,127.50 × 732,127.50
  4. Step 4: Simplify right side
    466,632x = 536,010,676,256.25
  5. Step 5: Solve for x
    x = 536,010,676,256.25/466,632
  6. Step 6: Final answer
    x = 1,148,679.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.