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Finding the Third Proportional to 366,324 and 781,035.75

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Solution

The third proportional to 366,324 and 781,035.75 is: 1,665,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,324 : 781,035.75 = 781,035.75 : x
  2. Step 2: Convert to fraction form
    366,324/781,035.75 = 781,035.75/x
  3. Step 3: Cross multiply
    366,324x = 781,035.75 × 781,035.75
  4. Step 4: Simplify right side
    366,324x = 610,016,842,778.06
  5. Step 5: Solve for x
    x = 610,016,842,778.06/366,324
  6. Step 6: Final answer
    x = 1,665,238.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.