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Finding the Third Proportional to 180,841 and 386,594

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Solution

The third proportional to 180,841 and 386,594 is: 826,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,841 : 386,594 = 386,594 : x
  2. Step 2: Convert to fraction form
    180,841/386,594 = 386,594/x
  3. Step 3: Cross multiply
    180,841x = 386,594 × 386,594
  4. Step 4: Simplify right side
    180,841x = 149,454,920,836
  5. Step 5: Solve for x
    x = 149,454,920,836/180,841
  6. Step 6: Final answer
    x = 826,443.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.