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Finding the Third Proportional to 341,920 and 791,482

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Solution

The third proportional to 341,920 and 791,482 is: 1,832,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,920 : 791,482 = 791,482 : x
  2. Step 2: Convert to fraction form
    341,920/791,482 = 791,482/x
  3. Step 3: Cross multiply
    341,920x = 791,482 × 791,482
  4. Step 4: Simplify right side
    341,920x = 626,443,756,324
  5. Step 5: Solve for x
    x = 626,443,756,324/341,920
  6. Step 6: Final answer
    x = 1,832,135.46

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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.