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Finding the Third Proportional to 474,248 and 723,414

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Solution

The third proportional to 474,248 and 723,414 is: 1,103,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,248 : 723,414 = 723,414 : x
  2. Step 2: Convert to fraction form
    474,248/723,414 = 723,414/x
  3. Step 3: Cross multiply
    474,248x = 723,414 × 723,414
  4. Step 4: Simplify right side
    474,248x = 523,327,815,396
  5. Step 5: Solve for x
    x = 523,327,815,396/474,248
  6. Step 6: Final answer
    x = 1,103,489.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.