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Finding the Third Proportional to 896.48 and 1,210.36

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Solution

The third proportional to 896.48 and 1,210.36 is: 1,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.48 : 1,210.36 = 1,210.36 : x
  2. Step 2: Convert to fraction form
    896.48/1,210.36 = 1,210.36/x
  3. Step 3: Cross multiply
    896.48x = 1,210.36 × 1,210.36
  4. Step 4: Simplify right side
    896.48x = 1,464,969.82
  5. Step 5: Solve for x
    x = 1,464,969.82/896.48
  6. Step 6: Final answer
    x = 1,634.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.