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Finding the Third Proportional to 311,499 and 473,406

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Solution

The third proportional to 311,499 and 473,406 is: 719,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,499 : 473,406 = 473,406 : x
  2. Step 2: Convert to fraction form
    311,499/473,406 = 473,406/x
  3. Step 3: Cross multiply
    311,499x = 473,406 × 473,406
  4. Step 4: Simplify right side
    311,499x = 224,113,240,836
  5. Step 5: Solve for x
    x = 224,113,240,836/311,499
  6. Step 6: Final answer
    x = 719,466.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.