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Finding the Third Proportional to 514,600.50 and 795,232.50

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Solution

The third proportional to 514,600.50 and 795,232.50 is: 1,228,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,600.50 : 795,232.50 = 795,232.50 : x
  2. Step 2: Convert to fraction form
    514,600.50/795,232.50 = 795,232.50/x
  3. Step 3: Cross multiply
    514,600.50x = 795,232.50 × 795,232.50
  4. Step 4: Simplify right side
    514,600.50x = 632,394,729,056.25
  5. Step 5: Solve for x
    x = 632,394,729,056.25/514,600.50
  6. Step 6: Final answer
    x = 1,228,904.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.