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Finding the Third Proportional to 319,438 and 479,166

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Solution

The third proportional to 319,438 and 479,166 is: 718,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,438 : 479,166 = 479,166 : x
  2. Step 2: Convert to fraction form
    319,438/479,166 = 479,166/x
  3. Step 3: Cross multiply
    319,438x = 479,166 × 479,166
  4. Step 4: Simplify right side
    319,438x = 229,600,055,556
  5. Step 5: Solve for x
    x = 229,600,055,556/319,438
  6. Step 6: Final answer
    x = 718,762.50

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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.