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Finding the Third Proportional to 374,846 and 816,248

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Solution

The third proportional to 374,846 and 816,248 is: 1,777,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,846 : 816,248 = 816,248 : x
  2. Step 2: Convert to fraction form
    374,846/816,248 = 816,248/x
  3. Step 3: Cross multiply
    374,846x = 816,248 × 816,248
  4. Step 4: Simplify right side
    374,846x = 666,260,797,504
  5. Step 5: Solve for x
    x = 666,260,797,504/374,846
  6. Step 6: Final answer
    x = 1,777,425.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.