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Finding the Third Proportional to 282,691.11 and 609,668.96

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Solution

The third proportional to 282,691.11 and 609,668.96 is: 1,314,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,691.11 : 609,668.96 = 609,668.96 : x
  2. Step 2: Convert to fraction form
    282,691.11/609,668.96 = 609,668.96/x
  3. Step 3: Cross multiply
    282,691.11x = 609,668.96 × 609,668.96
  4. Step 4: Simplify right side
    282,691.11x = 371,696,246,693.65
  5. Step 5: Solve for x
    x = 371,696,246,693.65/282,691.11
  6. Step 6: Final answer
    x = 1,314,849.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.