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Finding the Third Proportional to 526.82 and 1,129.10

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Solution

The third proportional to 526.82 and 1,129.10 is: 2,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 1,129.10 = 1,129.10 : x
  2. Step 2: Convert to fraction form
    526.82/1,129.10 = 1,129.10/x
  3. Step 3: Cross multiply
    526.82x = 1,129.10 × 1,129.10
  4. Step 4: Simplify right side
    526.82x = 1,274,857.11
  5. Step 5: Solve for x
    x = 1,274,857.11/526.82
  6. Step 6: Final answer
    x = 2,419.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.