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Finding the Third Proportional to 310,846 and 467,423

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Solution

The third proportional to 310,846 and 467,423 is: 702,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,846 : 467,423 = 467,423 : x
  2. Step 2: Convert to fraction form
    310,846/467,423 = 467,423/x
  3. Step 3: Cross multiply
    310,846x = 467,423 × 467,423
  4. Step 4: Simplify right side
    310,846x = 218,484,260,929
  5. Step 5: Solve for x
    x = 218,484,260,929/310,846
  6. Step 6: Final answer
    x = 702,869.78

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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.