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Finding the Third Proportional to 567,220 and 878,182

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Solution

The third proportional to 567,220 and 878,182 is: 1,359,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,220 : 878,182 = 878,182 : x
  2. Step 2: Convert to fraction form
    567,220/878,182 = 878,182/x
  3. Step 3: Cross multiply
    567,220x = 878,182 × 878,182
  4. Step 4: Simplify right side
    567,220x = 771,203,625,124
  5. Step 5: Solve for x
    x = 771,203,625,124/567,220
  6. Step 6: Final answer
    x = 1,359,619.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.