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Finding the Third Proportional to 462,025.50 and 691,158

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Solution

The third proportional to 462,025.50 and 691,158 is: 1,033,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,025.50 : 691,158 = 691,158 : x
  2. Step 2: Convert to fraction form
    462,025.50/691,158 = 691,158/x
  3. Step 3: Cross multiply
    462,025.50x = 691,158 × 691,158
  4. Step 4: Simplify right side
    462,025.50x = 477,699,380,964
  5. Step 5: Solve for x
    x = 477,699,380,964/462,025.50
  6. Step 6: Final answer
    x = 1,033,924.28

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