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Finding the Third Proportional to 617.94 and 900.56

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Solution

The third proportional to 617.94 and 900.56 is: 1,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 900.56 = 900.56 : x
  2. Step 2: Convert to fraction form
    617.94/900.56 = 900.56/x
  3. Step 3: Cross multiply
    617.94x = 900.56 × 900.56
  4. Step 4: Simplify right side
    617.94x = 811,012.82
  5. Step 5: Solve for x
    x = 811,012.82/617.94
  6. Step 6: Final answer
    x = 1,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.