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Finding the Third Proportional to 319,332 and 479,042

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Solution

The third proportional to 319,332 and 479,042 is: 718,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,332 : 479,042 = 479,042 : x
  2. Step 2: Convert to fraction form
    319,332/479,042 = 479,042/x
  3. Step 3: Cross multiply
    319,332x = 479,042 × 479,042
  4. Step 4: Simplify right side
    319,332x = 229,481,237,764
  5. Step 5: Solve for x
    x = 229,481,237,764/319,332
  6. Step 6: Final answer
    x = 718,629.01

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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.