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Finding the Third Proportional to 474,936.38 and 699,846

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Solution

The third proportional to 474,936.38 and 699,846 is: 1,031,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,936.38 : 699,846 = 699,846 : x
  2. Step 2: Convert to fraction form
    474,936.38/699,846 = 699,846/x
  3. Step 3: Cross multiply
    474,936.38x = 699,846 × 699,846
  4. Step 4: Simplify right side
    474,936.38x = 489,784,423,716
  5. Step 5: Solve for x
    x = 489,784,423,716/474,936.38
  6. Step 6: Final answer
    x = 1,031,263.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.