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Finding the Third Proportional to 341,738 and 791,129

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Solution

The third proportional to 341,738 and 791,129 is: 1,831,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,738 : 791,129 = 791,129 : x
  2. Step 2: Convert to fraction form
    341,738/791,129 = 791,129/x
  3. Step 3: Cross multiply
    341,738x = 791,129 × 791,129
  4. Step 4: Simplify right side
    341,738x = 625,885,094,641
  5. Step 5: Solve for x
    x = 625,885,094,641/341,738
  6. Step 6: Final answer
    x = 1,831,476.44

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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.