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Finding the Third Proportional to 566.63 and 897.56

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Solution

The third proportional to 566.63 and 897.56 is: 1,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 897.56 = 897.56 : x
  2. Step 2: Convert to fraction form
    566.63/897.56 = 897.56/x
  3. Step 3: Cross multiply
    566.63x = 897.56 × 897.56
  4. Step 4: Simplify right side
    566.63x = 805,618.44
  5. Step 5: Solve for x
    x = 805,618.44/566.63
  6. Step 6: Final answer
    x = 1,421.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.