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Finding the Third Proportional to 574,517.25 and 805,065.75

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Solution

The third proportional to 574,517.25 and 805,065.75 is: 1,128,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,517.25 : 805,065.75 = 805,065.75 : x
  2. Step 2: Convert to fraction form
    574,517.25/805,065.75 = 805,065.75/x
  3. Step 3: Cross multiply
    574,517.25x = 805,065.75 × 805,065.75
  4. Step 4: Simplify right side
    574,517.25x = 648,130,861,823.06
  5. Step 5: Solve for x
    x = 648,130,861,823.06/574,517.25
  6. Step 6: Final answer
    x = 1,128,131.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.