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Finding the Third Proportional to 897.94 and 1,433.63

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Solution

The third proportional to 897.94 and 1,433.63 is: 2,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.94 : 1,433.63 = 1,433.63 : x
  2. Step 2: Convert to fraction form
    897.94/1,433.63 = 1,433.63/x
  3. Step 3: Cross multiply
    897.94x = 1,433.63 × 1,433.63
  4. Step 4: Simplify right side
    897.94x = 2,055,280.64
  5. Step 5: Solve for x
    x = 2,055,280.64/897.94
  6. Step 6: Final answer
    x = 2,288.89

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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.