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Finding the Third Proportional to 338,432 and 733,440

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Solution

The third proportional to 338,432 and 733,440 is: 1,589,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,432 : 733,440 = 733,440 : x
  2. Step 2: Convert to fraction form
    338,432/733,440 = 733,440/x
  3. Step 3: Cross multiply
    338,432x = 733,440 × 733,440
  4. Step 4: Simplify right side
    338,432x = 537,934,233,600
  5. Step 5: Solve for x
    x = 537,934,233,600/338,432
  6. Step 6: Final answer
    x = 1,589,489.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.