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Finding the Third Proportional to 514,626.75 and 795,268.13

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Solution

The third proportional to 514,626.75 and 795,268.13 is: 1,228,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,626.75 : 795,268.13 = 795,268.13 : x
  2. Step 2: Convert to fraction form
    514,626.75/795,268.13 = 795,268.13/x
  3. Step 3: Cross multiply
    514,626.75x = 795,268.13 × 795,268.13
  4. Step 4: Simplify right side
    514,626.75x = 632,451,390,641.02
  5. Step 5: Solve for x
    x = 632,451,390,641.02/514,626.75
  6. Step 6: Final answer
    x = 1,228,951.64

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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.