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Finding the Third Proportional to 447,090.75 and 672,468.75

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Solution

The third proportional to 447,090.75 and 672,468.75 is: 1,011,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,090.75 : 672,468.75 = 672,468.75 : x
  2. Step 2: Convert to fraction form
    447,090.75/672,468.75 = 672,468.75/x
  3. Step 3: Cross multiply
    447,090.75x = 672,468.75 × 672,468.75
  4. Step 4: Simplify right side
    447,090.75x = 452,214,219,726.56
  5. Step 5: Solve for x
    x = 452,214,219,726.56/447,090.75
  6. Step 6: Final answer
    x = 1,011,459.57

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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.