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Finding the Third Proportional to 534,449.25 and 802,377

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Solution

The third proportional to 534,449.25 and 802,377 is: 1,204,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,449.25 : 802,377 = 802,377 : x
  2. Step 2: Convert to fraction form
    534,449.25/802,377 = 802,377/x
  3. Step 3: Cross multiply
    534,449.25x = 802,377 × 802,377
  4. Step 4: Simplify right side
    534,449.25x = 643,808,850,129
  5. Step 5: Solve for x
    x = 643,808,850,129/534,449.25
  6. Step 6: Final answer
    x = 1,204,621.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.