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Finding the Third Proportional to 550,065 and 875,217

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Solution

The third proportional to 550,065 and 875,217 is: 1,392,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,065 : 875,217 = 875,217 : x
  2. Step 2: Convert to fraction form
    550,065/875,217 = 875,217/x
  3. Step 3: Cross multiply
    550,065x = 875,217 × 875,217
  4. Step 4: Simplify right side
    550,065x = 766,004,797,089
  5. Step 5: Solve for x
    x = 766,004,797,089/550,065
  6. Step 6: Final answer
    x = 1,392,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.