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Finding the Third Proportional to 475,742 and 736,147

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Solution

The third proportional to 475,742 and 736,147 is: 1,139,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,742 : 736,147 = 736,147 : x
  2. Step 2: Convert to fraction form
    475,742/736,147 = 736,147/x
  3. Step 3: Cross multiply
    475,742x = 736,147 × 736,147
  4. Step 4: Simplify right side
    475,742x = 541,912,405,609
  5. Step 5: Solve for x
    x = 541,912,405,609/475,742
  6. Step 6: Final answer
    x = 1,139,088.85

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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.