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Finding the Third Proportional to 425.63 and 897.47

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Solution

The third proportional to 425.63 and 897.47 is: 1,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.63 : 897.47 = 897.47 : x
  2. Step 2: Convert to fraction form
    425.63/897.47 = 897.47/x
  3. Step 3: Cross multiply
    425.63x = 897.47 × 897.47
  4. Step 4: Simplify right side
    425.63x = 805,450.16
  5. Step 5: Solve for x
    x = 805,450.16/425.63
  6. Step 6: Final answer
    x = 1,892.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.