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Finding the Third Proportional to 564.75 and 848.25

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Solution

The third proportional to 564.75 and 848.25 is: 1,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 848.25 = 848.25 : x
  2. Step 2: Convert to fraction form
    564.75/848.25 = 848.25/x
  3. Step 3: Cross multiply
    564.75x = 848.25 × 848.25
  4. Step 4: Simplify right side
    564.75x = 719,528.06
  5. Step 5: Solve for x
    x = 719,528.06/564.75
  6. Step 6: Final answer
    x = 1,274.06

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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.