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Finding the Third Proportional to 495.28 and 1,069.03

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Solution

The third proportional to 495.28 and 1,069.03 is: 2,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 1,069.03 = 1,069.03 : x
  2. Step 2: Convert to fraction form
    495.28/1,069.03 = 1,069.03/x
  3. Step 3: Cross multiply
    495.28x = 1,069.03 × 1,069.03
  4. Step 4: Simplify right side
    495.28x = 1,142,827.81
  5. Step 5: Solve for x
    x = 1,142,827.81/495.28
  6. Step 6: Final answer
    x = 2,307.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.