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Finding the Third Proportional to 262,512 and 574,233.75

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Solution

The third proportional to 262,512 and 574,233.75 is: 1,256,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,512 : 574,233.75 = 574,233.75 : x
  2. Step 2: Convert to fraction form
    262,512/574,233.75 = 574,233.75/x
  3. Step 3: Cross multiply
    262,512x = 574,233.75 × 574,233.75
  4. Step 4: Simplify right side
    262,512x = 329,744,399,639.06
  5. Step 5: Solve for x
    x = 329,744,399,639.06/262,512
  6. Step 6: Final answer
    x = 1,256,111.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.