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Finding the Third Proportional to 254,625.75 and 553,056.75

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Solution

The third proportional to 254,625.75 and 553,056.75 is: 1,201,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,625.75 : 553,056.75 = 553,056.75 : x
  2. Step 2: Convert to fraction form
    254,625.75/553,056.75 = 553,056.75/x
  3. Step 3: Cross multiply
    254,625.75x = 553,056.75 × 553,056.75
  4. Step 4: Simplify right side
    254,625.75x = 305,871,768,720.56
  5. Step 5: Solve for x
    x = 305,871,768,720.56/254,625.75
  6. Step 6: Final answer
    x = 1,201,260.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.