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Finding the Third Proportional to 311,028 and 466,461

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Solution

The third proportional to 311,028 and 466,461 is: 699,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,028 : 466,461 = 466,461 : x
  2. Step 2: Convert to fraction form
    311,028/466,461 = 466,461/x
  3. Step 3: Cross multiply
    311,028x = 466,461 × 466,461
  4. Step 4: Simplify right side
    311,028x = 217,585,864,521
  5. Step 5: Solve for x
    x = 217,585,864,521/311,028
  6. Step 6: Final answer
    x = 699,570.02

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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.