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Finding the Third Proportional to 240,533 and 522,055

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Solution

The third proportional to 240,533 and 522,055 is: 1,133,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,533 : 522,055 = 522,055 : x
  2. Step 2: Convert to fraction form
    240,533/522,055 = 522,055/x
  3. Step 3: Cross multiply
    240,533x = 522,055 × 522,055
  4. Step 4: Simplify right side
    240,533x = 272,541,423,025
  5. Step 5: Solve for x
    x = 272,541,423,025/240,533
  6. Step 6: Final answer
    x = 1,133,072.90

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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.