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Finding the Third Proportional to 465,780 and 721,428

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Solution

The third proportional to 465,780 and 721,428 is: 1,117,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,780 : 721,428 = 721,428 : x
  2. Step 2: Convert to fraction form
    465,780/721,428 = 721,428/x
  3. Step 3: Cross multiply
    465,780x = 721,428 × 721,428
  4. Step 4: Simplify right side
    465,780x = 520,458,359,184
  5. Step 5: Solve for x
    x = 520,458,359,184/465,780
  6. Step 6: Final answer
    x = 1,117,390.96

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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.