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Finding the Third Proportional to 371,976 and 810,381

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Solution

The third proportional to 371,976 and 810,381 is: 1,765,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,976 : 810,381 = 810,381 : x
  2. Step 2: Convert to fraction form
    371,976/810,381 = 810,381/x
  3. Step 3: Cross multiply
    371,976x = 810,381 × 810,381
  4. Step 4: Simplify right side
    371,976x = 656,717,365,161
  5. Step 5: Solve for x
    x = 656,717,365,161/371,976
  6. Step 6: Final answer
    x = 1,765,483.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.