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Finding the Third Proportional to 240,624.11 and 522,815.45

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Solution

The third proportional to 240,624.11 and 522,815.45 is: 1,135,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,624.11 : 522,815.45 = 522,815.45 : x
  2. Step 2: Convert to fraction form
    240,624.11/522,815.45 = 522,815.45/x
  3. Step 3: Cross multiply
    240,624.11x = 522,815.45 × 522,815.45
  4. Step 4: Simplify right side
    240,624.11x = 273,335,993,941.80
  5. Step 5: Solve for x
    x = 273,335,993,941.80/240,624.11
  6. Step 6: Final answer
    x = 1,135,946.02

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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.