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Finding the Third Proportional to 461,266 and 691,899

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Solution

The third proportional to 461,266 and 691,899 is: 1,037,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,266 : 691,899 = 691,899 : x
  2. Step 2: Convert to fraction form
    461,266/691,899 = 691,899/x
  3. Step 3: Cross multiply
    461,266x = 691,899 × 691,899
  4. Step 4: Simplify right side
    461,266x = 478,724,226,201
  5. Step 5: Solve for x
    x = 478,724,226,201/461,266
  6. Step 6: Final answer
    x = 1,037,848.50

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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.