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Finding the Third Proportional to 314,673 and 471,900

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Solution

The third proportional to 314,673 and 471,900 is: 707,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,673 : 471,900 = 471,900 : x
  2. Step 2: Convert to fraction form
    314,673/471,900 = 471,900/x
  3. Step 3: Cross multiply
    314,673x = 471,900 × 471,900
  4. Step 4: Simplify right side
    314,673x = 222,689,610,000
  5. Step 5: Solve for x
    x = 222,689,610,000/314,673
  6. Step 6: Final answer
    x = 707,685.79

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Why These Related Problems?

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