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Finding the Third Proportional to 281,377.13 and 616,118.06

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Solution

The third proportional to 281,377.13 and 616,118.06 is: 1,349,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,377.13 : 616,118.06 = 616,118.06 : x
  2. Step 2: Convert to fraction form
    281,377.13/616,118.06 = 616,118.06/x
  3. Step 3: Cross multiply
    281,377.13x = 616,118.06 × 616,118.06
  4. Step 4: Simplify right side
    281,377.13x = 379,601,466,938.75
  5. Step 5: Solve for x
    x = 379,601,466,938.75/281,377.13
  6. Step 6: Final answer
    x = 1,349,084.32

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