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Finding the Third Proportional to 463,764 and 737,720

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Solution

The third proportional to 463,764 and 737,720 is: 1,173,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,764 : 737,720 = 737,720 : x
  2. Step 2: Convert to fraction form
    463,764/737,720 = 737,720/x
  3. Step 3: Cross multiply
    463,764x = 737,720 × 737,720
  4. Step 4: Simplify right side
    463,764x = 544,230,798,400
  5. Step 5: Solve for x
    x = 544,230,798,400/463,764
  6. Step 6: Final answer
    x = 1,173,508.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.