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Finding the Third Proportional to 319,408 and 479,072

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Solution

The third proportional to 319,408 and 479,072 is: 718,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,408 : 479,072 = 479,072 : x
  2. Step 2: Convert to fraction form
    319,408/479,072 = 479,072/x
  3. Step 3: Cross multiply
    319,408x = 479,072 × 479,072
  4. Step 4: Simplify right side
    319,408x = 229,509,981,184
  5. Step 5: Solve for x
    x = 229,509,981,184/319,408
  6. Step 6: Final answer
    x = 718,548.01

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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.