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Finding the Third Proportional to 710.51 and 1,538.30

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Solution

The third proportional to 710.51 and 1,538.30 is: 3,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.51 : 1,538.30 = 1,538.30 : x
  2. Step 2: Convert to fraction form
    710.51/1,538.30 = 1,538.30/x
  3. Step 3: Cross multiply
    710.51x = 1,538.30 × 1,538.30
  4. Step 4: Simplify right side
    710.51x = 2,366,357.28
  5. Step 5: Solve for x
    x = 2,366,357.28/710.51
  6. Step 6: Final answer
    x = 3,330.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.