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Finding the Third Proportional to 376,712 and 784,096

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Solution

The third proportional to 376,712 and 784,096 is: 1,632,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,712 : 784,096 = 784,096 : x
  2. Step 2: Convert to fraction form
    376,712/784,096 = 784,096/x
  3. Step 3: Cross multiply
    376,712x = 784,096 × 784,096
  4. Step 4: Simplify right side
    376,712x = 614,806,537,216
  5. Step 5: Solve for x
    x = 614,806,537,216/376,712
  6. Step 6: Final answer
    x = 1,632,033.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.