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Finding the Third Proportional to 298,600.50 and 649,686.50

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Solution

The third proportional to 298,600.50 and 649,686.50 is: 1,413,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,600.50 : 649,686.50 = 649,686.50 : x
  2. Step 2: Convert to fraction form
    298,600.50/649,686.50 = 649,686.50/x
  3. Step 3: Cross multiply
    298,600.50x = 649,686.50 × 649,686.50
  4. Step 4: Simplify right side
    298,600.50x = 422,092,548,282.25
  5. Step 5: Solve for x
    x = 422,092,548,282.25/298,600.50
  6. Step 6: Final answer
    x = 1,413,569.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.