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Finding the Third Proportional to 447,095 and 672,475

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Solution

The third proportional to 447,095 and 672,475 is: 1,011,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,095 : 672,475 = 672,475 : x
  2. Step 2: Convert to fraction form
    447,095/672,475 = 672,475/x
  3. Step 3: Cross multiply
    447,095x = 672,475 × 672,475
  4. Step 4: Simplify right side
    447,095x = 452,222,625,625
  5. Step 5: Solve for x
    x = 452,222,625,625/447,095
  6. Step 6: Final answer
    x = 1,011,468.76

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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.