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Finding the Third Proportional to 282,498.75 and 418,861.13

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Solution

The third proportional to 282,498.75 and 418,861.13 is: 621,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,498.75 : 418,861.13 = 418,861.13 : x
  2. Step 2: Convert to fraction form
    282,498.75/418,861.13 = 418,861.13/x
  3. Step 3: Cross multiply
    282,498.75x = 418,861.13 × 418,861.13
  4. Step 4: Simplify right side
    282,498.75x = 175,444,642,036.27
  5. Step 5: Solve for x
    x = 175,444,642,036.27/282,498.75
  6. Step 6: Final answer
    x = 621,045.73

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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.