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Finding the Third Proportional to 311,531.06 and 466,777.69

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Solution

The third proportional to 311,531.06 and 466,777.69 is: 699,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,531.06 : 466,777.69 = 466,777.69 : x
  2. Step 2: Convert to fraction form
    311,531.06/466,777.69 = 466,777.69/x
  3. Step 3: Cross multiply
    311,531.06x = 466,777.69 × 466,777.69
  4. Step 4: Simplify right side
    311,531.06x = 217,881,409,547.85
  5. Step 5: Solve for x
    x = 217,881,409,547.85/311,531.06
  6. Step 6: Final answer
    x = 699,389.04

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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.