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Finding the Third Proportional to 448,203 and 964,374

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Solution

The third proportional to 448,203 and 964,374 is: 2,074,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,203 : 964,374 = 964,374 : x
  2. Step 2: Convert to fraction form
    448,203/964,374 = 964,374/x
  3. Step 3: Cross multiply
    448,203x = 964,374 × 964,374
  4. Step 4: Simplify right side
    448,203x = 930,017,211,876
  5. Step 5: Solve for x
    x = 930,017,211,876/448,203
  6. Step 6: Final answer
    x = 2,074,991.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.