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Finding the Third Proportional to 434,227.50 and 942,727.50

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Solution

The third proportional to 434,227.50 and 942,727.50 is: 2,046,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,227.50 : 942,727.50 = 942,727.50 : x
  2. Step 2: Convert to fraction form
    434,227.50/942,727.50 = 942,727.50/x
  3. Step 3: Cross multiply
    434,227.50x = 942,727.50 × 942,727.50
  4. Step 4: Simplify right side
    434,227.50x = 888,735,139,256.25
  5. Step 5: Solve for x
    x = 888,735,139,256.25/434,227.50
  6. Step 6: Final answer
    x = 2,046,703.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.