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Finding the Third Proportional to 534,454 and 802,384

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Solution

The third proportional to 534,454 and 802,384 is: 1,204,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,454 : 802,384 = 802,384 : x
  2. Step 2: Convert to fraction form
    534,454/802,384 = 802,384/x
  3. Step 3: Cross multiply
    534,454x = 802,384 × 802,384
  4. Step 4: Simplify right side
    534,454x = 643,820,083,456
  5. Step 5: Solve for x
    x = 643,820,083,456/534,454
  6. Step 6: Final answer
    x = 1,204,631.42

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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.