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Finding the Third Proportional to 488,727 and 756,738

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Solution

The third proportional to 488,727 and 756,738 is: 1,171,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,727 : 756,738 = 756,738 : x
  2. Step 2: Convert to fraction form
    488,727/756,738 = 756,738/x
  3. Step 3: Cross multiply
    488,727x = 756,738 × 756,738
  4. Step 4: Simplify right side
    488,727x = 572,652,400,644
  5. Step 5: Solve for x
    x = 572,652,400,644/488,727
  6. Step 6: Final answer
    x = 1,171,722.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.