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Finding the Third Proportional to 567,216 and 878,175

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Solution

The third proportional to 567,216 and 878,175 is: 1,359,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,216 : 878,175 = 878,175 : x
  2. Step 2: Convert to fraction form
    567,216/878,175 = 878,175/x
  3. Step 3: Cross multiply
    567,216x = 878,175 × 878,175
  4. Step 4: Simplify right side
    567,216x = 771,191,330,625
  5. Step 5: Solve for x
    x = 771,191,330,625/567,216
  6. Step 6: Final answer
    x = 1,359,607.86

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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.