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Finding the Third Proportional to 337,792 and 534,856

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Solution

The third proportional to 337,792 and 534,856 is: 846,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,792 : 534,856 = 534,856 : x
  2. Step 2: Convert to fraction form
    337,792/534,856 = 534,856/x
  3. Step 3: Cross multiply
    337,792x = 534,856 × 534,856
  4. Step 4: Simplify right side
    337,792x = 286,070,940,736
  5. Step 5: Solve for x
    x = 286,070,940,736/337,792
  6. Step 6: Final answer
    x = 846,884.89

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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.