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Finding the Third Proportional to 500,366 and 737,314

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Solution

The third proportional to 500,366 and 737,314 is: 1,086,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,366 : 737,314 = 737,314 : x
  2. Step 2: Convert to fraction form
    500,366/737,314 = 737,314/x
  3. Step 3: Cross multiply
    500,366x = 737,314 × 737,314
  4. Step 4: Simplify right side
    500,366x = 543,631,934,596
  5. Step 5: Solve for x
    x = 543,631,934,596/500,366
  6. Step 6: Final answer
    x = 1,086,468.57

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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.