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Finding the Third Proportional to 282,074 and 615,588

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Solution

The third proportional to 282,074 and 615,588 is: 1,343,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,074 : 615,588 = 615,588 : x
  2. Step 2: Convert to fraction form
    282,074/615,588 = 615,588/x
  3. Step 3: Cross multiply
    282,074x = 615,588 × 615,588
  4. Step 4: Simplify right side
    282,074x = 378,948,585,744
  5. Step 5: Solve for x
    x = 378,948,585,744/282,074
  6. Step 6: Final answer
    x = 1,343,436.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.