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Finding the Third Proportional to 297,056.11 and 447,002.30

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Solution

The third proportional to 297,056.11 and 447,002.30 is: 672,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,056.11 : 447,002.30 = 447,002.30 : x
  2. Step 2: Convert to fraction form
    297,056.11/447,002.30 = 447,002.30/x
  3. Step 3: Cross multiply
    297,056.11x = 447,002.30 × 447,002.30
  4. Step 4: Simplify right side
    297,056.11x = 199,811,053,411.53
  5. Step 5: Solve for x
    x = 199,811,053,411.53/297,056.11
  6. Step 6: Final answer
    x = 672,637.41

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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.