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Finding the Third Proportional to 240,535 and 522,059

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Solution

The third proportional to 240,535 and 522,059 is: 1,133,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,535 : 522,059 = 522,059 : x
  2. Step 2: Convert to fraction form
    240,535/522,059 = 522,059/x
  3. Step 3: Cross multiply
    240,535x = 522,059 × 522,059
  4. Step 4: Simplify right side
    240,535x = 272,545,599,481
  5. Step 5: Solve for x
    x = 272,545,599,481/240,535
  6. Step 6: Final answer
    x = 1,133,080.84

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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.