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Finding the Third Proportional to 347,726 and 733,436

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Solution

The third proportional to 347,726 and 733,436 is: 1,546,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,726 : 733,436 = 733,436 : x
  2. Step 2: Convert to fraction form
    347,726/733,436 = 733,436/x
  3. Step 3: Cross multiply
    347,726x = 733,436 × 733,436
  4. Step 4: Simplify right side
    347,726x = 537,928,366,096
  5. Step 5: Solve for x
    x = 537,928,366,096/347,726
  6. Step 6: Final answer
    x = 1,546,989.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.