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Finding the Third Proportional to 500,342 and 737,282

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Solution

The third proportional to 500,342 and 737,282 is: 1,086,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,342 : 737,282 = 737,282 : x
  2. Step 2: Convert to fraction form
    500,342/737,282 = 737,282/x
  3. Step 3: Cross multiply
    500,342x = 737,282 × 737,282
  4. Step 4: Simplify right side
    500,342x = 543,584,747,524
  5. Step 5: Solve for x
    x = 543,584,747,524/500,342
  6. Step 6: Final answer
    x = 1,086,426.38

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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.