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Finding the Third Proportional to 532,327.50 and 1,154,495.25

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Solution

The third proportional to 532,327.50 and 1,154,495.25 is: 2,503,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,327.50 : 1,154,495.25 = 1,154,495.25 : x
  2. Step 2: Convert to fraction form
    532,327.50/1,154,495.25 = 1,154,495.25/x
  3. Step 3: Cross multiply
    532,327.50x = 1,154,495.25 × 1,154,495.25
  4. Step 4: Simplify right side
    532,327.50x = 1,332,859,282,272.56
  5. Step 5: Solve for x
    x = 1,332,859,282,272.56/532,327.50
  6. Step 6: Final answer
    x = 2,503,833.23

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Why These Related Problems?

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