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Finding the Third Proportional to 406,856 and 591,816

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Solution

The third proportional to 406,856 and 591,816 is: 860,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,856 : 591,816 = 591,816 : x
  2. Step 2: Convert to fraction form
    406,856/591,816 = 591,816/x
  3. Step 3: Cross multiply
    406,856x = 591,816 × 591,816
  4. Step 4: Simplify right side
    406,856x = 350,246,177,856
  5. Step 5: Solve for x
    x = 350,246,177,856/406,856
  6. Step 6: Final answer
    x = 860,860.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.