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Finding the Third Proportional to 424,150.50 and 914,709

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Solution

The third proportional to 424,150.50 and 914,709 is: 1,972,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,150.50 : 914,709 = 914,709 : x
  2. Step 2: Convert to fraction form
    424,150.50/914,709 = 914,709/x
  3. Step 3: Cross multiply
    424,150.50x = 914,709 × 914,709
  4. Step 4: Simplify right side
    424,150.50x = 836,692,554,681
  5. Step 5: Solve for x
    x = 836,692,554,681/424,150.50
  6. Step 6: Final answer
    x = 1,972,631.31

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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.