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Finding the Third Proportional to 406,807.50 and 874,839.75

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Solution

The third proportional to 406,807.50 and 874,839.75 is: 1,881,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,807.50 : 874,839.75 = 874,839.75 : x
  2. Step 2: Convert to fraction form
    406,807.50/874,839.75 = 874,839.75/x
  3. Step 3: Cross multiply
    406,807.50x = 874,839.75 × 874,839.75
  4. Step 4: Simplify right side
    406,807.50x = 765,344,588,180.06
  5. Step 5: Solve for x
    x = 765,344,588,180.06/406,807.50
  6. Step 6: Final answer
    x = 1,881,343.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.