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Finding the Third Proportional to 491,035.50 and 1,057,158

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Solution

The third proportional to 491,035.50 and 1,057,158 is: 2,275,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,035.50 : 1,057,158 = 1,057,158 : x
  2. Step 2: Convert to fraction form
    491,035.50/1,057,158 = 1,057,158/x
  3. Step 3: Cross multiply
    491,035.50x = 1,057,158 × 1,057,158
  4. Step 4: Simplify right side
    491,035.50x = 1,117,583,036,964
  5. Step 5: Solve for x
    x = 1,117,583,036,964/491,035.50
  6. Step 6: Final answer
    x = 2,275,971.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.