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Finding the Third Proportional to 319,314 and 479,017

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Solution

The third proportional to 319,314 and 479,017 is: 718,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,314 : 479,017 = 479,017 : x
  2. Step 2: Convert to fraction form
    319,314/479,017 = 479,017/x
  3. Step 3: Cross multiply
    319,314x = 479,017 × 479,017
  4. Step 4: Simplify right side
    319,314x = 229,457,286,289
  5. Step 5: Solve for x
    x = 229,457,286,289/319,314
  6. Step 6: Final answer
    x = 718,594.51

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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.