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Finding the Third Proportional to 563.06 and 857.53

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Solution

The third proportional to 563.06 and 857.53 is: 1,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 857.53 = 857.53 : x
  2. Step 2: Convert to fraction form
    563.06/857.53 = 857.53/x
  3. Step 3: Cross multiply
    563.06x = 857.53 × 857.53
  4. Step 4: Simplify right side
    563.06x = 735,359.84
  5. Step 5: Solve for x
    x = 735,359.84/563.06
  6. Step 6: Final answer
    x = 1,306.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.