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Finding the Third Proportional to 282,898 and 614,876

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Solution

The third proportional to 282,898 and 614,876 is: 1,336,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,898 : 614,876 = 614,876 : x
  2. Step 2: Convert to fraction form
    282,898/614,876 = 614,876/x
  3. Step 3: Cross multiply
    282,898x = 614,876 × 614,876
  4. Step 4: Simplify right side
    282,898x = 378,072,495,376
  5. Step 5: Solve for x
    x = 378,072,495,376/282,898
  6. Step 6: Final answer
    x = 1,336,426.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.