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Finding the Third Proportional to 318,434.63 and 464,524.88

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Solution

The third proportional to 318,434.63 and 464,524.88 is: 677,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,434.63 : 464,524.88 = 464,524.88 : x
  2. Step 2: Convert to fraction form
    318,434.63/464,524.88 = 464,524.88/x
  3. Step 3: Cross multiply
    318,434.63x = 464,524.88 × 464,524.88
  4. Step 4: Simplify right side
    318,434.63x = 215,783,359,493.77
  5. Step 5: Solve for x
    x = 215,783,359,493.77/318,434.63
  6. Step 6: Final answer
    x = 677,637.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.