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Finding the Third Proportional to 319,414 and 479,130

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Solution

The third proportional to 319,414 and 479,130 is: 718,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,414 : 479,130 = 479,130 : x
  2. Step 2: Convert to fraction form
    319,414/479,130 = 479,130/x
  3. Step 3: Cross multiply
    319,414x = 479,130 × 479,130
  4. Step 4: Simplify right side
    319,414x = 229,565,556,900
  5. Step 5: Solve for x
    x = 229,565,556,900/319,414
  6. Step 6: Final answer
    x = 718,708.50

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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.