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Finding the Third Proportional to 532,506.75 and 1,162,591.50

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Solution

The third proportional to 532,506.75 and 1,162,591.50 is: 2,538,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,506.75 : 1,162,591.50 = 1,162,591.50 : x
  2. Step 2: Convert to fraction form
    532,506.75/1,162,591.50 = 1,162,591.50/x
  3. Step 3: Cross multiply
    532,506.75x = 1,162,591.50 × 1,162,591.50
  4. Step 4: Simplify right side
    532,506.75x = 1,351,618,995,872.25
  5. Step 5: Solve for x
    x = 1,351,618,995,872.25/532,506.75
  6. Step 6: Final answer
    x = 2,538,219.46

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Why These Related Problems?

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