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Finding the Third Proportional to 567,228 and 878,194

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Solution

The third proportional to 567,228 and 878,194 is: 1,359,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,228 : 878,194 = 878,194 : x
  2. Step 2: Convert to fraction form
    567,228/878,194 = 878,194/x
  3. Step 3: Cross multiply
    567,228x = 878,194 × 878,194
  4. Step 4: Simplify right side
    567,228x = 771,224,701,636
  5. Step 5: Solve for x
    x = 771,224,701,636/567,228
  6. Step 6: Final answer
    x = 1,359,637.93

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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.