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Finding the Third Proportional to 607.42 and 1,310.71

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Solution

The third proportional to 607.42 and 1,310.71 is: 2,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.42 : 1,310.71 = 1,310.71 : x
  2. Step 2: Convert to fraction form
    607.42/1,310.71 = 1,310.71/x
  3. Step 3: Cross multiply
    607.42x = 1,310.71 × 1,310.71
  4. Step 4: Simplify right side
    607.42x = 1,717,968.28
  5. Step 5: Solve for x
    x = 1,717,968.28/607.42
  6. Step 6: Final answer
    x = 2,828.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.