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Finding the Third Proportional to 897.84 and 1,379.72

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Solution

The third proportional to 897.84 and 1,379.72 is: 2,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,379.72 = 1,379.72 : x
  2. Step 2: Convert to fraction form
    897.84/1,379.72 = 1,379.72/x
  3. Step 3: Cross multiply
    897.84x = 1,379.72 × 1,379.72
  4. Step 4: Simplify right side
    897.84x = 1,903,623.83
  5. Step 5: Solve for x
    x = 1,903,623.83/897.84
  6. Step 6: Final answer
    x = 2,120.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.