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Finding the Third Proportional to 337,752 and 517,860

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Solution

The third proportional to 337,752 and 517,860 is: 794,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,752 : 517,860 = 517,860 : x
  2. Step 2: Convert to fraction form
    337,752/517,860 = 517,860/x
  3. Step 3: Cross multiply
    337,752x = 517,860 × 517,860
  4. Step 4: Simplify right side
    337,752x = 268,178,979,600
  5. Step 5: Solve for x
    x = 268,178,979,600/337,752
  6. Step 6: Final answer
    x = 794,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.