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Finding the Third Proportional to 282,691.27 and 609,666.12

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Solution

The third proportional to 282,691.27 and 609,666.12 is: 1,314,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,691.27 : 609,666.12 = 609,666.12 : x
  2. Step 2: Convert to fraction form
    282,691.27/609,666.12 = 609,666.12/x
  3. Step 3: Cross multiply
    282,691.27x = 609,666.12 × 609,666.12
  4. Step 4: Simplify right side
    282,691.27x = 371,692,774,446.48
  5. Step 5: Solve for x
    x = 371,692,774,446.48/282,691.27
  6. Step 6: Final answer
    x = 1,314,836.43

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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.