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Finding the Third Proportional to 597.87 and 897.41

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Solution

The third proportional to 597.87 and 897.41 is: 1,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.87 : 897.41 = 897.41 : x
  2. Step 2: Convert to fraction form
    597.87/897.41 = 897.41/x
  3. Step 3: Cross multiply
    597.87x = 897.41 × 897.41
  4. Step 4: Simplify right side
    597.87x = 805,348.60
  5. Step 5: Solve for x
    x = 805,348.60/597.87
  6. Step 6: Final answer
    x = 1,347.02

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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.