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Finding the Third Proportional to 349,876.13 and 763,084.13

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Solution

The third proportional to 349,876.13 and 763,084.13 is: 1,664,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,876.13 : 763,084.13 = 763,084.13 : x
  2. Step 2: Convert to fraction form
    349,876.13/763,084.13 = 763,084.13/x
  3. Step 3: Cross multiply
    349,876.13x = 763,084.13 × 763,084.13
  4. Step 4: Simplify right side
    349,876.13x = 582,297,381,827.02
  5. Step 5: Solve for x
    x = 582,297,381,827.02/349,876.13
  6. Step 6: Final answer
    x = 1,664,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.