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Finding the Third Proportional to 341,928 and 791,501

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Solution

The third proportional to 341,928 and 791,501 is: 1,832,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,928 : 791,501 = 791,501 : x
  2. Step 2: Convert to fraction form
    341,928/791,501 = 791,501/x
  3. Step 3: Cross multiply
    341,928x = 791,501 × 791,501
  4. Step 4: Simplify right side
    341,928x = 626,473,833,001
  5. Step 5: Solve for x
    x = 626,473,833,001/341,928
  6. Step 6: Final answer
    x = 1,832,180.56

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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.