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Finding the Third Proportional to 341,918 and 791,478

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Solution

The third proportional to 341,918 and 791,478 is: 1,832,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,918 : 791,478 = 791,478 : x
  2. Step 2: Convert to fraction form
    341,918/791,478 = 791,478/x
  3. Step 3: Cross multiply
    341,918x = 791,478 × 791,478
  4. Step 4: Simplify right side
    341,918x = 626,437,424,484
  5. Step 5: Solve for x
    x = 626,437,424,484/341,918
  6. Step 6: Final answer
    x = 1,832,127.66

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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.