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Finding the Third Proportional to 391,219.03 and 834,108.47

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Solution

The third proportional to 391,219.03 and 834,108.47 is: 1,778,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,219.03 : 834,108.47 = 834,108.47 : x
  2. Step 2: Convert to fraction form
    391,219.03/834,108.47 = 834,108.47/x
  3. Step 3: Cross multiply
    391,219.03x = 834,108.47 × 834,108.47
  4. Step 4: Simplify right side
    391,219.03x = 695,736,937,640.47
  5. Step 5: Solve for x
    x = 695,736,937,640.47/391,219.03
  6. Step 6: Final answer
    x = 1,778,382.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.