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Finding the Third Proportional to 337,856 and 534,960

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Solution

The third proportional to 337,856 and 534,960 is: 847,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,856 : 534,960 = 534,960 : x
  2. Step 2: Convert to fraction form
    337,856/534,960 = 534,960/x
  3. Step 3: Cross multiply
    337,856x = 534,960 × 534,960
  4. Step 4: Simplify right side
    337,856x = 286,182,201,600
  5. Step 5: Solve for x
    x = 286,182,201,600/337,856
  6. Step 6: Final answer
    x = 847,053.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.