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Finding the Third Proportional to 479,816 and 717,081

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Solution

The third proportional to 479,816 and 717,081 is: 1,071,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,816 : 717,081 = 717,081 : x
  2. Step 2: Convert to fraction form
    479,816/717,081 = 717,081/x
  3. Step 3: Cross multiply
    479,816x = 717,081 × 717,081
  4. Step 4: Simplify right side
    479,816x = 514,205,160,561
  5. Step 5: Solve for x
    x = 514,205,160,561/479,816
  6. Step 6: Final answer
    x = 1,071,671.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.