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Finding the Third Proportional to 465,772 and 721,416

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Solution

The third proportional to 465,772 and 721,416 is: 1,117,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,772 : 721,416 = 721,416 : x
  2. Step 2: Convert to fraction form
    465,772/721,416 = 721,416/x
  3. Step 3: Cross multiply
    465,772x = 721,416 × 721,416
  4. Step 4: Simplify right side
    465,772x = 520,441,045,056
  5. Step 5: Solve for x
    x = 520,441,045,056/465,772
  6. Step 6: Final answer
    x = 1,117,372.97

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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.