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Finding the Third Proportional to 447,816 and 671,447.25

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Solution

The third proportional to 447,816 and 671,447.25 is: 1,006,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,816 : 671,447.25 = 671,447.25 : x
  2. Step 2: Convert to fraction form
    447,816/671,447.25 = 671,447.25/x
  3. Step 3: Cross multiply
    447,816x = 671,447.25 × 671,447.25
  4. Step 4: Simplify right side
    447,816x = 450,841,409,532.56
  5. Step 5: Solve for x
    x = 450,841,409,532.56/447,816
  6. Step 6: Final answer
    x = 1,006,755.92

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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.