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Finding the Third Proportional to 567,222 and 878,184

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Solution

The third proportional to 567,222 and 878,184 is: 1,359,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,222 : 878,184 = 878,184 : x
  2. Step 2: Convert to fraction form
    567,222/878,184 = 878,184/x
  3. Step 3: Cross multiply
    567,222x = 878,184 × 878,184
  4. Step 4: Simplify right side
    567,222x = 771,207,137,856
  5. Step 5: Solve for x
    x = 771,207,137,856/567,222
  6. Step 6: Final answer
    x = 1,359,621.34

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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.