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Finding the Third Proportional to 412,957.13 and 605,788.88

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Solution

The third proportional to 412,957.13 and 605,788.88 is: 888,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,957.13 : 605,788.88 = 605,788.88 : x
  2. Step 2: Convert to fraction form
    412,957.13/605,788.88 = 605,788.88/x
  3. Step 3: Cross multiply
    412,957.13x = 605,788.88 × 605,788.88
  4. Step 4: Simplify right side
    412,957.13x = 366,980,161,073.77
  5. Step 5: Solve for x
    x = 366,980,161,073.77/412,957.13
  6. Step 6: Final answer
    x = 888,664.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.