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Finding the Third Proportional to 716.72 and 1,570.03

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Solution

The third proportional to 716.72 and 1,570.03 is: 3,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.72 : 1,570.03 = 1,570.03 : x
  2. Step 2: Convert to fraction form
    716.72/1,570.03 = 1,570.03/x
  3. Step 3: Cross multiply
    716.72x = 1,570.03 × 1,570.03
  4. Step 4: Simplify right side
    716.72x = 2,464,998.13
  5. Step 5: Solve for x
    x = 2,464,998.13/716.72
  6. Step 6: Final answer
    x = 3,439.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.