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Finding the Third Proportional to 475,934 and 736,941

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Solution

The third proportional to 475,934 and 736,941 is: 1,141,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,934 : 736,941 = 736,941 : x
  2. Step 2: Convert to fraction form
    475,934/736,941 = 736,941/x
  3. Step 3: Cross multiply
    475,934x = 736,941 × 736,941
  4. Step 4: Simplify right side
    475,934x = 543,082,037,481
  5. Step 5: Solve for x
    x = 543,082,037,481/475,934
  6. Step 6: Final answer
    x = 1,141,086.87

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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.