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Finding the Third Proportional to 718.14 and 1,501.43

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Solution

The third proportional to 718.14 and 1,501.43 is: 3,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.14 : 1,501.43 = 1,501.43 : x
  2. Step 2: Convert to fraction form
    718.14/1,501.43 = 1,501.43/x
  3. Step 3: Cross multiply
    718.14x = 1,501.43 × 1,501.43
  4. Step 4: Simplify right side
    718.14x = 2,254,282.31
  5. Step 5: Solve for x
    x = 2,254,282.31/718.14
  6. Step 6: Final answer
    x = 3,139.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.