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Finding the Third Proportional to 461,114 and 691,671

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Solution

The third proportional to 461,114 and 691,671 is: 1,037,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,114 : 691,671 = 691,671 : x
  2. Step 2: Convert to fraction form
    461,114/691,671 = 691,671/x
  3. Step 3: Cross multiply
    461,114x = 691,671 × 691,671
  4. Step 4: Simplify right side
    461,114x = 478,408,772,241
  5. Step 5: Solve for x
    x = 478,408,772,241/461,114
  6. Step 6: Final answer
    x = 1,037,506.50

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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.