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Finding the Third Proportional to 367,006 and 567,209

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Solution

The third proportional to 367,006 and 567,209 is: 876,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,006 : 567,209 = 567,209 : x
  2. Step 2: Convert to fraction form
    367,006/567,209 = 567,209/x
  3. Step 3: Cross multiply
    367,006x = 567,209 × 567,209
  4. Step 4: Simplify right side
    367,006x = 321,726,049,681
  5. Step 5: Solve for x
    x = 321,726,049,681/367,006
  6. Step 6: Final answer
    x = 876,623.41

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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.