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Finding the Third Proportional to 336,874.50 and 506,679

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Solution

The third proportional to 336,874.50 and 506,679 is: 762,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,874.50 : 506,679 = 506,679 : x
  2. Step 2: Convert to fraction form
    336,874.50/506,679 = 506,679/x
  3. Step 3: Cross multiply
    336,874.50x = 506,679 × 506,679
  4. Step 4: Simplify right side
    336,874.50x = 256,723,609,041
  5. Step 5: Solve for x
    x = 256,723,609,041/336,874.50
  6. Step 6: Final answer
    x = 762,074.92

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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.