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Finding the Third Proportional to 241,802 and 522,532

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Solution

The third proportional to 241,802 and 522,532 is: 1,129,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,802 : 522,532 = 522,532 : x
  2. Step 2: Convert to fraction form
    241,802/522,532 = 522,532/x
  3. Step 3: Cross multiply
    241,802x = 522,532 × 522,532
  4. Step 4: Simplify right side
    241,802x = 273,039,691,024
  5. Step 5: Solve for x
    x = 273,039,691,024/241,802
  6. Step 6: Final answer
    x = 1,129,187.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.