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Finding the Third Proportional to 331,856.50 and 510,376

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Solution

The third proportional to 331,856.50 and 510,376 is: 784,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,856.50 : 510,376 = 510,376 : x
  2. Step 2: Convert to fraction form
    331,856.50/510,376 = 510,376/x
  3. Step 3: Cross multiply
    331,856.50x = 510,376 × 510,376
  4. Step 4: Simplify right side
    331,856.50x = 260,483,661,376
  5. Step 5: Solve for x
    x = 260,483,661,376/331,856.50
  6. Step 6: Final answer
    x = 784,928.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.