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Finding the Third Proportional to 371,972 and 810,288

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Solution

The third proportional to 371,972 and 810,288 is: 1,765,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,972 : 810,288 = 810,288 : x
  2. Step 2: Convert to fraction form
    371,972/810,288 = 810,288/x
  3. Step 3: Cross multiply
    371,972x = 810,288 × 810,288
  4. Step 4: Simplify right side
    371,972x = 656,566,642,944
  5. Step 5: Solve for x
    x = 656,566,642,944/371,972
  6. Step 6: Final answer
    x = 1,765,096.95

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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.