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Finding the Third Proportional to 262,512.56 and 572,540.06

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Solution

The third proportional to 262,512.56 and 572,540.06 is: 1,248,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,512.56 : 572,540.06 = 572,540.06 : x
  2. Step 2: Convert to fraction form
    262,512.56/572,540.06 = 572,540.06/x
  3. Step 3: Cross multiply
    262,512.56x = 572,540.06 × 572,540.06
  4. Step 4: Simplify right side
    262,512.56x = 327,802,123,167.50
  5. Step 5: Solve for x
    x = 327,802,123,167.50/262,512.56
  6. Step 6: Final answer
    x = 1,248,710.23

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Why These Related Problems?

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