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Finding the Third Proportional to 821,842.50 and 1,204,332

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Solution

The third proportional to 821,842.50 and 1,204,332 is: 1,764,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,842.50 : 1,204,332 = 1,204,332 : x
  2. Step 2: Convert to fraction form
    821,842.50/1,204,332 = 1,204,332/x
  3. Step 3: Cross multiply
    821,842.50x = 1,204,332 × 1,204,332
  4. Step 4: Simplify right side
    821,842.50x = 1,450,415,566,224
  5. Step 5: Solve for x
    x = 1,450,415,566,224/821,842.50
  6. Step 6: Final answer
    x = 1,764,833.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.