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Finding the Third Proportional to 637,632 and 957,960

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Solution

The third proportional to 637,632 and 957,960 is: 1,439,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,632 : 957,960 = 957,960 : x
  2. Step 2: Convert to fraction form
    637,632/957,960 = 957,960/x
  3. Step 3: Cross multiply
    637,632x = 957,960 × 957,960
  4. Step 4: Simplify right side
    637,632x = 917,687,361,600
  5. Step 5: Solve for x
    x = 917,687,361,600/637,632
  6. Step 6: Final answer
    x = 1,439,211.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.