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Finding the Third Proportional to 897.96 and 1,343.14

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Solution

The third proportional to 897.96 and 1,343.14 is: 2,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.96 : 1,343.14 = 1,343.14 : x
  2. Step 2: Convert to fraction form
    897.96/1,343.14 = 1,343.14/x
  3. Step 3: Cross multiply
    897.96x = 1,343.14 × 1,343.14
  4. Step 4: Simplify right side
    897.96x = 1,804,037.23
  5. Step 5: Solve for x
    x = 1,804,037.23/897.96
  6. Step 6: Final answer
    x = 2,009.04

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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.