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Finding the Third Proportional to 284,694 and 418,473

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Solution

The third proportional to 284,694 and 418,473 is: 615,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,694 : 418,473 = 418,473 : x
  2. Step 2: Convert to fraction form
    284,694/418,473 = 418,473/x
  3. Step 3: Cross multiply
    284,694x = 418,473 × 418,473
  4. Step 4: Simplify right side
    284,694x = 175,119,651,729
  5. Step 5: Solve for x
    x = 175,119,651,729/284,694
  6. Step 6: Final answer
    x = 615,115.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.