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Finding the Third Proportional to 341,923 and 791,490

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Solution

The third proportional to 341,923 and 791,490 is: 1,832,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,923 : 791,490 = 791,490 : x
  2. Step 2: Convert to fraction form
    341,923/791,490 = 791,490/x
  3. Step 3: Cross multiply
    341,923x = 791,490 × 791,490
  4. Step 4: Simplify right side
    341,923x = 626,456,420,100
  5. Step 5: Solve for x
    x = 626,456,420,100/341,923
  6. Step 6: Final answer
    x = 1,832,156.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.