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Finding the Third Proportional to 406,902.50 and 883,857.50

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Solution

The third proportional to 406,902.50 and 883,857.50 is: 1,919,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,902.50 : 883,857.50 = 883,857.50 : x
  2. Step 2: Convert to fraction form
    406,902.50/883,857.50 = 883,857.50/x
  3. Step 3: Cross multiply
    406,902.50x = 883,857.50 × 883,857.50
  4. Step 4: Simplify right side
    406,902.50x = 781,204,080,306.25
  5. Step 5: Solve for x
    x = 781,204,080,306.25/406,902.50
  6. Step 6: Final answer
    x = 1,919,880.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.