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Finding the Third Proportional to 563.91 and 900.14

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Solution

The third proportional to 563.91 and 900.14 is: 1,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 900.14 = 900.14 : x
  2. Step 2: Convert to fraction form
    563.91/900.14 = 900.14/x
  3. Step 3: Cross multiply
    563.91x = 900.14 × 900.14
  4. Step 4: Simplify right side
    563.91x = 810,253.14
  5. Step 5: Solve for x
    x = 810,253.14/563.91
  6. Step 6: Final answer
    x = 1,436.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.