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Finding the Third Proportional to 500,377 and 737,330

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Solution

The third proportional to 500,377 and 737,330 is: 1,086,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,377 : 737,330 = 737,330 : x
  2. Step 2: Convert to fraction form
    500,377/737,330 = 737,330/x
  3. Step 3: Cross multiply
    500,377x = 737,330 × 737,330
  4. Step 4: Simplify right side
    500,377x = 543,655,528,900
  5. Step 5: Solve for x
    x = 543,655,528,900/500,377
  6. Step 6: Final answer
    x = 1,086,491.84

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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.