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Finding the Third Proportional to 897.75 and 1,310.91

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Solution

The third proportional to 897.75 and 1,310.91 is: 1,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.75 : 1,310.91 = 1,310.91 : x
  2. Step 2: Convert to fraction form
    897.75/1,310.91 = 1,310.91/x
  3. Step 3: Cross multiply
    897.75x = 1,310.91 × 1,310.91
  4. Step 4: Simplify right side
    897.75x = 1,718,475.20
  5. Step 5: Solve for x
    x = 1,718,475.20/897.75
  6. Step 6: Final answer
    x = 1,914.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.