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Finding the Third Proportional to 260,901 and 383,697

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Solution

The third proportional to 260,901 and 383,697 is: 564,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,901 : 383,697 = 383,697 : x
  2. Step 2: Convert to fraction form
    260,901/383,697 = 383,697/x
  3. Step 3: Cross multiply
    260,901x = 383,697 × 383,697
  4. Step 4: Simplify right side
    260,901x = 147,223,387,809
  5. Step 5: Solve for x
    x = 147,223,387,809/260,901
  6. Step 6: Final answer
    x = 564,288.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.