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Finding the Third Proportional to 336,754 and 508,630

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Solution

The third proportional to 336,754 and 508,630 is: 768,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,754 : 508,630 = 508,630 : x
  2. Step 2: Convert to fraction form
    336,754/508,630 = 508,630/x
  3. Step 3: Cross multiply
    336,754x = 508,630 × 508,630
  4. Step 4: Simplify right side
    336,754x = 258,704,476,900
  5. Step 5: Solve for x
    x = 258,704,476,900/336,754
  6. Step 6: Final answer
    x = 768,229.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.