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Finding the Third Proportional to 897.33 and 1,426.99

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Solution

The third proportional to 897.33 and 1,426.99 is: 2,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.33 : 1,426.99 = 1,426.99 : x
  2. Step 2: Convert to fraction form
    897.33/1,426.99 = 1,426.99/x
  3. Step 3: Cross multiply
    897.33x = 1,426.99 × 1,426.99
  4. Step 4: Simplify right side
    897.33x = 2,036,306.70
  5. Step 5: Solve for x
    x = 2,036,306.70/897.33
  6. Step 6: Final answer
    x = 2,269.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.