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Finding the Third Proportional to 532,324.13 and 1,154,490.75

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Solution

The third proportional to 532,324.13 and 1,154,490.75 is: 2,503,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,324.13 : 1,154,490.75 = 1,154,490.75 : x
  2. Step 2: Convert to fraction form
    532,324.13/1,154,490.75 = 1,154,490.75/x
  3. Step 3: Cross multiply
    532,324.13x = 1,154,490.75 × 1,154,490.75
  4. Step 4: Simplify right side
    532,324.13x = 1,332,848,891,835.56
  5. Step 5: Solve for x
    x = 1,332,848,891,835.56/532,324.13
  6. Step 6: Final answer
    x = 2,503,829.58

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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.