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Finding the Third Proportional to 650,376 and 970,668

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Solution

The third proportional to 650,376 and 970,668 is: 1,448,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,376 : 970,668 = 970,668 : x
  2. Step 2: Convert to fraction form
    650,376/970,668 = 970,668/x
  3. Step 3: Cross multiply
    650,376x = 970,668 × 970,668
  4. Step 4: Simplify right side
    650,376x = 942,196,366,224
  5. Step 5: Solve for x
    x = 942,196,366,224/650,376
  6. Step 6: Final answer
    x = 1,448,694.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.