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Finding the Third Proportional to 500,442 and 737,423

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Solution

The third proportional to 500,442 and 737,423 is: 1,086,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,442 : 737,423 = 737,423 : x
  2. Step 2: Convert to fraction form
    500,442/737,423 = 737,423/x
  3. Step 3: Cross multiply
    500,442x = 737,423 × 737,423
  4. Step 4: Simplify right side
    500,442x = 543,792,680,929
  5. Step 5: Solve for x
    x = 543,792,680,929/500,442
  6. Step 6: Final answer
    x = 1,086,624.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.