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Finding the Third Proportional to 382,180 and 795,730

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Solution

The third proportional to 382,180 and 795,730 is: 1,656,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,180 : 795,730 = 795,730 : x
  2. Step 2: Convert to fraction form
    382,180/795,730 = 795,730/x
  3. Step 3: Cross multiply
    382,180x = 795,730 × 795,730
  4. Step 4: Simplify right side
    382,180x = 633,186,232,900
  5. Step 5: Solve for x
    x = 633,186,232,900/382,180
  6. Step 6: Final answer
    x = 1,656,774.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.