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Finding the Third Proportional to 567,218 and 878,178

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Solution

The third proportional to 567,218 and 878,178 is: 1,359,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,218 : 878,178 = 878,178 : x
  2. Step 2: Convert to fraction form
    567,218/878,178 = 878,178/x
  3. Step 3: Cross multiply
    567,218x = 878,178 × 878,178
  4. Step 4: Simplify right side
    567,218x = 771,196,599,684
  5. Step 5: Solve for x
    x = 771,196,599,684/567,218
  6. Step 6: Final answer
    x = 1,359,612.35

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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.