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Finding the Third Proportional to 572.06 and 856.41

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Solution

The third proportional to 572.06 and 856.41 is: 1,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 856.41 = 856.41 : x
  2. Step 2: Convert to fraction form
    572.06/856.41 = 856.41/x
  3. Step 3: Cross multiply
    572.06x = 856.41 × 856.41
  4. Step 4: Simplify right side
    572.06x = 733,431.67
  5. Step 5: Solve for x
    x = 733,431.67/572.06
  6. Step 6: Final answer
    x = 1,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.