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Finding the Third Proportional to 282,642.75 and 418,780.13

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Solution

The third proportional to 282,642.75 and 418,780.13 is: 620,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,642.75 : 418,780.13 = 418,780.13 : x
  2. Step 2: Convert to fraction form
    282,642.75/418,780.13 = 418,780.13/x
  3. Step 3: Cross multiply
    282,642.75x = 418,780.13 × 418,780.13
  4. Step 4: Simplify right side
    282,642.75x = 175,376,793,095.02
  5. Step 5: Solve for x
    x = 175,376,793,095.02/282,642.75
  6. Step 6: Final answer
    x = 620,489.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.