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Finding the Third Proportional to 341,926 and 791,496

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Solution

The third proportional to 341,926 and 791,496 is: 1,832,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,926 : 791,496 = 791,496 : x
  2. Step 2: Convert to fraction form
    341,926/791,496 = 791,496/x
  3. Step 3: Cross multiply
    341,926x = 791,496 × 791,496
  4. Step 4: Simplify right side
    341,926x = 626,465,918,016
  5. Step 5: Solve for x
    x = 626,465,918,016/341,926
  6. Step 6: Final answer
    x = 1,832,168.12

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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.