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Finding the Third Proportional to 469.88 and 1,011.75

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Solution

The third proportional to 469.88 and 1,011.75 is: 2,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.88 : 1,011.75 = 1,011.75 : x
  2. Step 2: Convert to fraction form
    469.88/1,011.75 = 1,011.75/x
  3. Step 3: Cross multiply
    469.88x = 1,011.75 × 1,011.75
  4. Step 4: Simplify right side
    469.88x = 1,023,638.06
  5. Step 5: Solve for x
    x = 1,023,638.06/469.88
  6. Step 6: Final answer
    x = 2,178.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.