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Finding the Third Proportional to 730 and 1,280

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Solution

The third proportional to 730 and 1,280 is: 2,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    730 : 1,280 = 1,280 : x
  2. Step 2: Convert to fraction form
    730/1,280 = 1,280/x
  3. Step 3: Cross multiply
    730x = 1,280 × 1,280
  4. Step 4: Simplify right side
    730x = 1,638,400
  5. Step 5: Solve for x
    x = 1,638,400/730
  6. Step 6: Final answer
    x = 2,244.38

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.