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Finding the Third Proportional to 341,740 and 791,134

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Solution

The third proportional to 341,740 and 791,134 is: 1,831,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,740 : 791,134 = 791,134 : x
  2. Step 2: Convert to fraction form
    341,740/791,134 = 791,134/x
  3. Step 3: Cross multiply
    341,740x = 791,134 × 791,134
  4. Step 4: Simplify right side
    341,740x = 625,893,005,956
  5. Step 5: Solve for x
    x = 625,893,005,956/341,740
  6. Step 6: Final answer
    x = 1,831,488.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.