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Finding the Third Proportional to 461,112 and 691,668

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Solution

The third proportional to 461,112 and 691,668 is: 1,037,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,112 : 691,668 = 691,668 : x
  2. Step 2: Convert to fraction form
    461,112/691,668 = 691,668/x
  3. Step 3: Cross multiply
    461,112x = 691,668 × 691,668
  4. Step 4: Simplify right side
    461,112x = 478,404,622,224
  5. Step 5: Solve for x
    x = 478,404,622,224/461,112
  6. Step 6: Final answer
    x = 1,037,502

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.