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Finding the Third Proportional to 532,515.75 and 1,162,609.50

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Solution

The third proportional to 532,515.75 and 1,162,609.50 is: 2,538,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,515.75 : 1,162,609.50 = 1,162,609.50 : x
  2. Step 2: Convert to fraction form
    532,515.75/1,162,609.50 = 1,162,609.50/x
  3. Step 3: Cross multiply
    532,515.75x = 1,162,609.50 × 1,162,609.50
  4. Step 4: Simplify right side
    532,515.75x = 1,351,660,849,490.25
  5. Step 5: Solve for x
    x = 1,351,660,849,490.25/532,515.75
  6. Step 6: Final answer
    x = 2,538,255.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.