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Finding the Third Proportional to 466,632 and 721,815

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Solution

The third proportional to 466,632 and 721,815 is: 1,116,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,632 : 721,815 = 721,815 : x
  2. Step 2: Convert to fraction form
    466,632/721,815 = 721,815/x
  3. Step 3: Cross multiply
    466,632x = 721,815 × 721,815
  4. Step 4: Simplify right side
    466,632x = 521,016,894,225
  5. Step 5: Solve for x
    x = 521,016,894,225/466,632
  6. Step 6: Final answer
    x = 1,116,547.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.