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Finding the Third Proportional to 265,454.25 and 577,563.75

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Solution

The third proportional to 265,454.25 and 577,563.75 is: 1,256,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,454.25 : 577,563.75 = 577,563.75 : x
  2. Step 2: Convert to fraction form
    265,454.25/577,563.75 = 577,563.75/x
  3. Step 3: Cross multiply
    265,454.25x = 577,563.75 × 577,563.75
  4. Step 4: Simplify right side
    265,454.25x = 333,579,885,314.06
  5. Step 5: Solve for x
    x = 333,579,885,314.06/265,454.25
  6. Step 6: Final answer
    x = 1,256,637.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.