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Finding the Third Proportional to 1,210 and 1,328

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Solution

The third proportional to 1,210 and 1,328 is: 1,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210 : 1,328 = 1,328 : x
  2. Step 2: Convert to fraction form
    1,210/1,328 = 1,328/x
  3. Step 3: Cross multiply
    1,210x = 1,328 × 1,328
  4. Step 4: Simplify right side
    1,210x = 1,763,584
  5. Step 5: Solve for x
    x = 1,763,584/1,210
  6. Step 6: Final answer
    x = 1,457.51

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.