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Finding the Third Proportional to 448,944.75 and 997,656.75

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Solution

The third proportional to 448,944.75 and 997,656.75 is: 2,217,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,944.75 : 997,656.75 = 997,656.75 : x
  2. Step 2: Convert to fraction form
    448,944.75/997,656.75 = 997,656.75/x
  3. Step 3: Cross multiply
    448,944.75x = 997,656.75 × 997,656.75
  4. Step 4: Simplify right side
    448,944.75x = 995,318,990,820.56
  5. Step 5: Solve for x
    x = 995,318,990,820.56/448,944.75
  6. Step 6: Final answer
    x = 2,217,018.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.