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Finding the Third Proportional to 710.67 and 1,536.94

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Solution

The third proportional to 710.67 and 1,536.94 is: 3,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.67 : 1,536.94 = 1,536.94 : x
  2. Step 2: Convert to fraction form
    710.67/1,536.94 = 1,536.94/x
  3. Step 3: Cross multiply
    710.67x = 1,536.94 × 1,536.94
  4. Step 4: Simplify right side
    710.67x = 2,362,176.88
  5. Step 5: Solve for x
    x = 2,362,176.88/710.67
  6. Step 6: Final answer
    x = 3,323.86

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