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Finding the Third Proportional to 539,220 and 825,192

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Solution

The third proportional to 539,220 and 825,192 is: 1,262,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,220 : 825,192 = 825,192 : x
  2. Step 2: Convert to fraction form
    539,220/825,192 = 825,192/x
  3. Step 3: Cross multiply
    539,220x = 825,192 × 825,192
  4. Step 4: Simplify right side
    539,220x = 680,941,836,864
  5. Step 5: Solve for x
    x = 680,941,836,864/539,220
  6. Step 6: Final answer
    x = 1,262,827.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.