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Finding the Third Proportional to 424,210.50 and 914,838

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Solution

The third proportional to 424,210.50 and 914,838 is: 1,972,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,210.50 : 914,838 = 914,838 : x
  2. Step 2: Convert to fraction form
    424,210.50/914,838 = 914,838/x
  3. Step 3: Cross multiply
    424,210.50x = 914,838 × 914,838
  4. Step 4: Simplify right side
    424,210.50x = 836,928,566,244
  5. Step 5: Solve for x
    x = 836,928,566,244/424,210.50
  6. Step 6: Final answer
    x = 1,972,908.65

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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.