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Finding the Third Proportional to 515,348 and 802,468

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Solution

The third proportional to 515,348 and 802,468 is: 1,249,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,348 : 802,468 = 802,468 : x
  2. Step 2: Convert to fraction form
    515,348/802,468 = 802,468/x
  3. Step 3: Cross multiply
    515,348x = 802,468 × 802,468
  4. Step 4: Simplify right side
    515,348x = 643,954,891,024
  5. Step 5: Solve for x
    x = 643,954,891,024/515,348
  6. Step 6: Final answer
    x = 1,249,553.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.