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Finding the Third Proportional to 367,065 and 567,288

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Solution

The third proportional to 367,065 and 567,288 is: 876,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065 : 567,288 = 567,288 : x
  2. Step 2: Convert to fraction form
    367,065/567,288 = 567,288/x
  3. Step 3: Cross multiply
    367,065x = 567,288 × 567,288
  4. Step 4: Simplify right side
    367,065x = 321,815,674,944
  5. Step 5: Solve for x
    x = 321,815,674,944/367,065
  6. Step 6: Final answer
    x = 876,726.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.