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Finding the Third Proportional to 319,416 and 479,084

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Solution

The third proportional to 319,416 and 479,084 is: 718,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,416 : 479,084 = 479,084 : x
  2. Step 2: Convert to fraction form
    319,416/479,084 = 479,084/x
  3. Step 3: Cross multiply
    319,416x = 479,084 × 479,084
  4. Step 4: Simplify right side
    319,416x = 229,521,479,056
  5. Step 5: Solve for x
    x = 229,521,479,056/319,416
  6. Step 6: Final answer
    x = 718,566.01

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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.