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Finding the Third Proportional to 424,215.50 and 914,851

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Solution

The third proportional to 424,215.50 and 914,851 is: 1,972,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,215.50 : 914,851 = 914,851 : x
  2. Step 2: Convert to fraction form
    424,215.50/914,851 = 914,851/x
  3. Step 3: Cross multiply
    424,215.50x = 914,851 × 914,851
  4. Step 4: Simplify right side
    424,215.50x = 836,952,352,201
  5. Step 5: Solve for x
    x = 836,952,352,201/424,215.50
  6. Step 6: Final answer
    x = 1,972,941.47

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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.