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Finding the Third Proportional to 461,102 and 691,653

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Solution

The third proportional to 461,102 and 691,653 is: 1,037,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,102 : 691,653 = 691,653 : x
  2. Step 2: Convert to fraction form
    461,102/691,653 = 691,653/x
  3. Step 3: Cross multiply
    461,102x = 691,653 × 691,653
  4. Step 4: Simplify right side
    461,102x = 478,383,872,409
  5. Step 5: Solve for x
    x = 478,383,872,409/461,102
  6. Step 6: Final answer
    x = 1,037,479.50

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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.