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Finding the Third Proportional to 377,626 and 607,749

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Solution

The third proportional to 377,626 and 607,749 is: 978,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,626 : 607,749 = 607,749 : x
  2. Step 2: Convert to fraction form
    377,626/607,749 = 607,749/x
  3. Step 3: Cross multiply
    377,626x = 607,749 × 607,749
  4. Step 4: Simplify right side
    377,626x = 369,358,847,001
  5. Step 5: Solve for x
    x = 369,358,847,001/377,626
  6. Step 6: Final answer
    x = 978,107.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.