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Finding the Third Proportional to 448,953.75 and 997,552.88

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Solution

The third proportional to 448,953.75 and 997,552.88 is: 2,216,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,953.75 : 997,552.88 = 997,552.88 : x
  2. Step 2: Convert to fraction form
    448,953.75/997,552.88 = 997,552.88/x
  3. Step 3: Cross multiply
    448,953.75x = 997,552.88 × 997,552.88
  4. Step 4: Simplify right side
    448,953.75x = 995,111,738,420.77
  5. Step 5: Solve for x
    x = 995,111,738,420.77/448,953.75
  6. Step 6: Final answer
    x = 2,216,512.81

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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.