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Finding the Third Proportional to 254,616.75 and 537,117.75

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Solution

The third proportional to 254,616.75 and 537,117.75 is: 1,133,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,616.75 : 537,117.75 = 537,117.75 : x
  2. Step 2: Convert to fraction form
    254,616.75/537,117.75 = 537,117.75/x
  3. Step 3: Cross multiply
    254,616.75x = 537,117.75 × 537,117.75
  4. Step 4: Simplify right side
    254,616.75x = 288,495,477,365.06
  5. Step 5: Solve for x
    x = 288,495,477,365.06/254,616.75
  6. Step 6: Final answer
    x = 1,133,057.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.