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Finding the Third Proportional to 493,877 and 747,701

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Solution

The third proportional to 493,877 and 747,701 is: 1,131,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,877 : 747,701 = 747,701 : x
  2. Step 2: Convert to fraction form
    493,877/747,701 = 747,701/x
  3. Step 3: Cross multiply
    493,877x = 747,701 × 747,701
  4. Step 4: Simplify right side
    493,877x = 559,056,785,401
  5. Step 5: Solve for x
    x = 559,056,785,401/493,877
  6. Step 6: Final answer
    x = 1,131,975.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.