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Finding the Third Proportional to 532,280.25 and 1,134,238.50

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Solution

The third proportional to 532,280.25 and 1,134,238.50 is: 2,416,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,280.25 : 1,134,238.50 = 1,134,238.50 : x
  2. Step 2: Convert to fraction form
    532,280.25/1,134,238.50 = 1,134,238.50/x
  3. Step 3: Cross multiply
    532,280.25x = 1,134,238.50 × 1,134,238.50
  4. Step 4: Simplify right side
    532,280.25x = 1,286,496,974,882.25
  5. Step 5: Solve for x
    x = 1,286,496,974,882.25/532,280.25
  6. Step 6: Final answer
    x = 2,416,954.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.