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Finding the Third Proportional to 565.73 and 848.13

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Solution

The third proportional to 565.73 and 848.13 is: 1,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.73 : 848.13 = 848.13 : x
  2. Step 2: Convert to fraction form
    565.73/848.13 = 848.13/x
  3. Step 3: Cross multiply
    565.73x = 848.13 × 848.13
  4. Step 4: Simplify right side
    565.73x = 719,319.33
  5. Step 5: Solve for x
    x = 719,319.33/565.73
  6. Step 6: Final answer
    x = 1,271.48

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