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Finding the Third Proportional to 311,314.50 and 466,972.88

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Solution

The third proportional to 311,314.50 and 466,972.88 is: 700,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,314.50 : 466,972.88 = 466,972.88 : x
  2. Step 2: Convert to fraction form
    311,314.50/466,972.88 = 466,972.88/x
  3. Step 3: Cross multiply
    311,314.50x = 466,972.88 × 466,972.88
  4. Step 4: Simplify right side
    311,314.50x = 218,063,665,985.77
  5. Step 5: Solve for x
    x = 218,063,665,985.77/311,314.50
  6. Step 6: Final answer
    x = 700,461.00

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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.