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Finding the Third Proportional to 367,000.50 and 567,202.50

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Solution

The third proportional to 367,000.50 and 567,202.50 is: 876,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,000.50 : 567,202.50 = 567,202.50 : x
  2. Step 2: Convert to fraction form
    367,000.50/567,202.50 = 567,202.50/x
  3. Step 3: Cross multiply
    367,000.50x = 567,202.50 × 567,202.50
  4. Step 4: Simplify right side
    367,000.50x = 321,718,676,006.25
  5. Step 5: Solve for x
    x = 321,718,676,006.25/367,000.50
  6. Step 6: Final answer
    x = 876,616.45

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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.