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Finding the Third Proportional to 532,394.44 and 1,154,617.88

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Solution

The third proportional to 532,394.44 and 1,154,617.88 is: 2,504,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,394.44 : 1,154,617.88 = 1,154,617.88 : x
  2. Step 2: Convert to fraction form
    532,394.44/1,154,617.88 = 1,154,617.88/x
  3. Step 3: Cross multiply
    532,394.44x = 1,154,617.88 × 1,154,617.88
  4. Step 4: Simplify right side
    532,394.44x = 1,333,142,437,269.52
  5. Step 5: Solve for x
    x = 1,333,142,437,269.52/532,394.44
  6. Step 6: Final answer
    x = 2,504,050.27

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