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Finding the Third Proportional to 638,048 and 929,376

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Solution

The third proportional to 638,048 and 929,376 is: 1,353,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,048 : 929,376 = 929,376 : x
  2. Step 2: Convert to fraction form
    638,048/929,376 = 929,376/x
  3. Step 3: Cross multiply
    638,048x = 929,376 × 929,376
  4. Step 4: Simplify right side
    638,048x = 863,739,749,376
  5. Step 5: Solve for x
    x = 863,739,749,376/638,048
  6. Step 6: Final answer
    x = 1,353,722.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.