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Finding the Third Proportional to 233.09 and 572.06

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Solution

The third proportional to 233.09 and 572.06 is: 1,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 572.06 = 572.06 : x
  2. Step 2: Convert to fraction form
    233.09/572.06 = 572.06/x
  3. Step 3: Cross multiply
    233.09x = 572.06 × 572.06
  4. Step 4: Simplify right side
    233.09x = 327,255.50
  5. Step 5: Solve for x
    x = 327,255.50/233.09
  6. Step 6: Final answer
    x = 1,404.01

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.