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Finding the Third Proportional to 504.19 and 1,071.75

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Solution

The third proportional to 504.19 and 1,071.75 is: 2,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.19 : 1,071.75 = 1,071.75 : x
  2. Step 2: Convert to fraction form
    504.19/1,071.75 = 1,071.75/x
  3. Step 3: Cross multiply
    504.19x = 1,071.75 × 1,071.75
  4. Step 4: Simplify right side
    504.19x = 1,148,648.06
  5. Step 5: Solve for x
    x = 1,148,648.06/504.19
  6. Step 6: Final answer
    x = 2,278.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.