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Finding the Third Proportional to 360,084 and 784,974

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Solution

The third proportional to 360,084 and 784,974 is: 1,711,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,084 : 784,974 = 784,974 : x
  2. Step 2: Convert to fraction form
    360,084/784,974 = 784,974/x
  3. Step 3: Cross multiply
    360,084x = 784,974 × 784,974
  4. Step 4: Simplify right side
    360,084x = 616,184,180,676
  5. Step 5: Solve for x
    x = 616,184,180,676/360,084
  6. Step 6: Final answer
    x = 1,711,223.44

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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.