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Finding the Third Proportional to 491.75 and 1,069.63

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Solution

The third proportional to 491.75 and 1,069.63 is: 2,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.75 : 1,069.63 = 1,069.63 : x
  2. Step 2: Convert to fraction form
    491.75/1,069.63 = 1,069.63/x
  3. Step 3: Cross multiply
    491.75x = 1,069.63 × 1,069.63
  4. Step 4: Simplify right side
    491.75x = 1,144,097.64
  5. Step 5: Solve for x
    x = 1,144,097.64/491.75
  6. Step 6: Final answer
    x = 2,326.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.