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Finding the Third Proportional to 282,304 and 605,552

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Solution

The third proportional to 282,304 and 605,552 is: 1,298,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,304 : 605,552 = 605,552 : x
  2. Step 2: Convert to fraction form
    282,304/605,552 = 605,552/x
  3. Step 3: Cross multiply
    282,304x = 605,552 × 605,552
  4. Step 4: Simplify right side
    282,304x = 366,693,224,704
  5. Step 5: Solve for x
    x = 366,693,224,704/282,304
  6. Step 6: Final answer
    x = 1,298,930.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.