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Finding the Third Proportional to 341,096 and 723,752

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Solution

The third proportional to 341,096 and 723,752 is: 1,535,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,096 : 723,752 = 723,752 : x
  2. Step 2: Convert to fraction form
    341,096/723,752 = 723,752/x
  3. Step 3: Cross multiply
    341,096x = 723,752 × 723,752
  4. Step 4: Simplify right side
    341,096x = 523,816,957,504
  5. Step 5: Solve for x
    x = 523,816,957,504/341,096
  6. Step 6: Final answer
    x = 1,535,687.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.