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Finding the Third Proportional to 367,068 and 567,290

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Solution

The third proportional to 367,068 and 567,290 is: 876,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,068 : 567,290 = 567,290 : x
  2. Step 2: Convert to fraction form
    367,068/567,290 = 567,290/x
  3. Step 3: Cross multiply
    367,068x = 567,290 × 567,290
  4. Step 4: Simplify right side
    367,068x = 321,817,944,100
  5. Step 5: Solve for x
    x = 321,817,944,100/367,068
  6. Step 6: Final answer
    x = 876,725.69

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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.