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Finding the Third Proportional to 370,674 and 813,519

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Solution

The third proportional to 370,674 and 813,519 is: 1,785,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,674 : 813,519 = 813,519 : x
  2. Step 2: Convert to fraction form
    370,674/813,519 = 813,519/x
  3. Step 3: Cross multiply
    370,674x = 813,519 × 813,519
  4. Step 4: Simplify right side
    370,674x = 661,813,163,361
  5. Step 5: Solve for x
    x = 661,813,163,361/370,674
  6. Step 6: Final answer
    x = 1,785,431.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.