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Finding the Third Proportional to 567,236 and 878,208

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Solution

The third proportional to 567,236 and 878,208 is: 1,359,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,236 : 878,208 = 878,208 : x
  2. Step 2: Convert to fraction form
    567,236/878,208 = 878,208/x
  3. Step 3: Cross multiply
    567,236x = 878,208 × 878,208
  4. Step 4: Simplify right side
    567,236x = 771,249,291,264
  5. Step 5: Solve for x
    x = 771,249,291,264/567,236
  6. Step 6: Final answer
    x = 1,359,662.10

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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.