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Finding the Third Proportional to 281,376 and 616,116.38

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Solution

The third proportional to 281,376 and 616,116.38 is: 1,349,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,376 : 616,116.38 = 616,116.38 : x
  2. Step 2: Convert to fraction form
    281,376/616,116.38 = 616,116.38/x
  3. Step 3: Cross multiply
    281,376x = 616,116.38 × 616,116.38
  4. Step 4: Simplify right side
    281,376x = 379,599,387,543.14
  5. Step 5: Solve for x
    x = 379,599,387,543.14/281,376
  6. Step 6: Final answer
    x = 1,349,082.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.