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Finding the Third Proportional to 567,240 and 878,214

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Solution

The third proportional to 567,240 and 878,214 is: 1,359,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,240 : 878,214 = 878,214 : x
  2. Step 2: Convert to fraction form
    567,240/878,214 = 878,214/x
  3. Step 3: Cross multiply
    567,240x = 878,214 × 878,214
  4. Step 4: Simplify right side
    567,240x = 771,259,829,796
  5. Step 5: Solve for x
    x = 771,259,829,796/567,240
  6. Step 6: Final answer
    x = 1,359,671.09

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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.