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Finding the Third Proportional to 282,042 and 615,528

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Solution

The third proportional to 282,042 and 615,528 is: 1,343,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,042 : 615,528 = 615,528 : x
  2. Step 2: Convert to fraction form
    282,042/615,528 = 615,528/x
  3. Step 3: Cross multiply
    282,042x = 615,528 × 615,528
  4. Step 4: Simplify right side
    282,042x = 378,874,718,784
  5. Step 5: Solve for x
    x = 378,874,718,784/282,042
  6. Step 6: Final answer
    x = 1,343,327.30

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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.