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Finding the Third Proportional to 897.93 and 1,348.10

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Solution

The third proportional to 897.93 and 1,348.10 is: 2,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.93 : 1,348.10 = 1,348.10 : x
  2. Step 2: Convert to fraction form
    897.93/1,348.10 = 1,348.10/x
  3. Step 3: Cross multiply
    897.93x = 1,348.10 × 1,348.10
  4. Step 4: Simplify right side
    897.93x = 1,817,377.82
  5. Step 5: Solve for x
    x = 1,817,377.82/897.93
  6. Step 6: Final answer
    x = 2,023.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.