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Finding the Third Proportional to 315,188 and 471,666

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Solution

The third proportional to 315,188 and 471,666 is: 705,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,188 : 471,666 = 471,666 : x
  2. Step 2: Convert to fraction form
    315,188/471,666 = 471,666/x
  3. Step 3: Cross multiply
    315,188x = 471,666 × 471,666
  4. Step 4: Simplify right side
    315,188x = 222,468,815,556
  5. Step 5: Solve for x
    x = 222,468,815,556/315,188
  6. Step 6: Final answer
    x = 705,828.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.