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Finding the Third Proportional to 202,524 and 444,060

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Solution

The third proportional to 202,524 and 444,060 is: 973,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,524 : 444,060 = 444,060 : x
  2. Step 2: Convert to fraction form
    202,524/444,060 = 444,060/x
  3. Step 3: Cross multiply
    202,524x = 444,060 × 444,060
  4. Step 4: Simplify right side
    202,524x = 197,189,283,600
  5. Step 5: Solve for x
    x = 197,189,283,600/202,524
  6. Step 6: Final answer
    x = 973,658.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.