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Finding the Third Proportional to 650.13 and 1,307.75

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Solution

The third proportional to 650.13 and 1,307.75 is: 2,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.13 : 1,307.75 = 1,307.75 : x
  2. Step 2: Convert to fraction form
    650.13/1,307.75 = 1,307.75/x
  3. Step 3: Cross multiply
    650.13x = 1,307.75 × 1,307.75
  4. Step 4: Simplify right side
    650.13x = 1,710,210.06
  5. Step 5: Solve for x
    x = 1,710,210.06/650.13
  6. Step 6: Final answer
    x = 2,630.59

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.