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Finding the Third Proportional to 418,248 and 897,175

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Solution

The third proportional to 418,248 and 897,175 is: 1,924,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,248 : 897,175 = 897,175 : x
  2. Step 2: Convert to fraction form
    418,248/897,175 = 897,175/x
  3. Step 3: Cross multiply
    418,248x = 897,175 × 897,175
  4. Step 4: Simplify right side
    418,248x = 804,922,980,625
  5. Step 5: Solve for x
    x = 804,922,980,625/418,248
  6. Step 6: Final answer
    x = 1,924,511.25

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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.