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Finding the Third Proportional to 532,028.25 and 804,337.88

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Solution

The third proportional to 532,028.25 and 804,337.88 is: 1,216,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,028.25 : 804,337.88 = 804,337.88 : x
  2. Step 2: Convert to fraction form
    532,028.25/804,337.88 = 804,337.88/x
  3. Step 3: Cross multiply
    532,028.25x = 804,337.88 × 804,337.88
  4. Step 4: Simplify right side
    532,028.25x = 646,959,417,159.52
  5. Step 5: Solve for x
    x = 646,959,417,159.52/532,028.25
  6. Step 6: Final answer
    x = 1,216,024.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.