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Finding the Third Proportional to 297,178.88 and 447,175.69

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Solution

The third proportional to 297,178.88 and 447,175.69 is: 672,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178.88 : 447,175.69 = 447,175.69 : x
  2. Step 2: Convert to fraction form
    297,178.88/447,175.69 = 447,175.69/x
  3. Step 3: Cross multiply
    297,178.88x = 447,175.69 × 447,175.69
  4. Step 4: Simplify right side
    297,178.88x = 199,966,095,491.10
  5. Step 5: Solve for x
    x = 199,966,095,491.10/297,178.88
  6. Step 6: Final answer
    x = 672,881.26

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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.