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Finding the Third Proportional to 284,870 and 615,424

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Solution

The third proportional to 284,870 and 615,424 is: 1,329,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,870 : 615,424 = 615,424 : x
  2. Step 2: Convert to fraction form
    284,870/615,424 = 615,424/x
  3. Step 3: Cross multiply
    284,870x = 615,424 × 615,424
  4. Step 4: Simplify right side
    284,870x = 378,746,699,776
  5. Step 5: Solve for x
    x = 378,746,699,776/284,870
  6. Step 6: Final answer
    x = 1,329,542.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.