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Finding the Third Proportional to 703.97 and 1,457.30

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Solution

The third proportional to 703.97 and 1,457.30 is: 3,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.97 : 1,457.30 = 1,457.30 : x
  2. Step 2: Convert to fraction form
    703.97/1,457.30 = 1,457.30/x
  3. Step 3: Cross multiply
    703.97x = 1,457.30 × 1,457.30
  4. Step 4: Simplify right side
    703.97x = 2,123,714.18
  5. Step 5: Solve for x
    x = 2,123,714.18/703.97
  6. Step 6: Final answer
    x = 3,016.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.