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Finding the Third Proportional to 466,357.50 and 684,227.25

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Solution

The third proportional to 466,357.50 and 684,227.25 is: 1,003,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,357.50 : 684,227.25 = 684,227.25 : x
  2. Step 2: Convert to fraction form
    466,357.50/684,227.25 = 684,227.25/x
  3. Step 3: Cross multiply
    466,357.50x = 684,227.25 × 684,227.25
  4. Step 4: Simplify right side
    466,357.50x = 468,166,929,642.56
  5. Step 5: Solve for x
    x = 468,166,929,642.56/466,357.50
  6. Step 6: Final answer
    x = 1,003,879.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.