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Finding the Third Proportional to 535,268.25 and 781,544.95

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Solution

The third proportional to 535,268.25 and 781,544.95 is: 1,141,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,268.25 : 781,544.95 = 781,544.95 : x
  2. Step 2: Convert to fraction form
    535,268.25/781,544.95 = 781,544.95/x
  3. Step 3: Cross multiply
    535,268.25x = 781,544.95 × 781,544.95
  4. Step 4: Simplify right side
    535,268.25x = 610,812,513,755.16
  5. Step 5: Solve for x
    x = 610,812,513,755.16/535,268.25
  6. Step 6: Final answer
    x = 1,141,133.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.