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Finding the Third Proportional to 424,231.50 and 914,883

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Solution

The third proportional to 424,231.50 and 914,883 is: 1,973,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,231.50 : 914,883 = 914,883 : x
  2. Step 2: Convert to fraction form
    424,231.50/914,883 = 914,883/x
  3. Step 3: Cross multiply
    424,231.50x = 914,883 × 914,883
  4. Step 4: Simplify right side
    424,231.50x = 837,010,903,689
  5. Step 5: Solve for x
    x = 837,010,903,689/424,231.50
  6. Step 6: Final answer
    x = 1,973,005.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.