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Finding the Third Proportional to 953.58 and 1,457.84

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Solution

The third proportional to 953.58 and 1,457.84 is: 2,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.58 : 1,457.84 = 1,457.84 : x
  2. Step 2: Convert to fraction form
    953.58/1,457.84 = 1,457.84/x
  3. Step 3: Cross multiply
    953.58x = 1,457.84 × 1,457.84
  4. Step 4: Simplify right side
    953.58x = 2,125,309.91
  5. Step 5: Solve for x
    x = 2,125,309.91/953.58
  6. Step 6: Final answer
    x = 2,228.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.