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Finding the Third Proportional to 638,144 and 929,520

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Solution

The third proportional to 638,144 and 929,520 is: 1,353,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,144 : 929,520 = 929,520 : x
  2. Step 2: Convert to fraction form
    638,144/929,520 = 929,520/x
  3. Step 3: Cross multiply
    638,144x = 929,520 × 929,520
  4. Step 4: Simplify right side
    638,144x = 864,007,430,400
  5. Step 5: Solve for x
    x = 864,007,430,400/638,144
  6. Step 6: Final answer
    x = 1,353,938.03

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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.