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Finding the Third Proportional to 821,839.50 and 1,204,328.25

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Solution

The third proportional to 821,839.50 and 1,204,328.25 is: 1,764,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,839.50 : 1,204,328.25 = 1,204,328.25 : x
  2. Step 2: Convert to fraction form
    821,839.50/1,204,328.25 = 1,204,328.25/x
  3. Step 3: Cross multiply
    821,839.50x = 1,204,328.25 × 1,204,328.25
  4. Step 4: Simplify right side
    821,839.50x = 1,450,406,533,748.06
  5. Step 5: Solve for x
    x = 1,450,406,533,748.06/821,839.50
  6. Step 6: Final answer
    x = 1,764,829.43

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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.