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Finding the Third Proportional to 529.31 and 1,110.09

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Solution

The third proportional to 529.31 and 1,110.09 is: 2,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.31 : 1,110.09 = 1,110.09 : x
  2. Step 2: Convert to fraction form
    529.31/1,110.09 = 1,110.09/x
  3. Step 3: Cross multiply
    529.31x = 1,110.09 × 1,110.09
  4. Step 4: Simplify right side
    529.31x = 1,232,308.13
  5. Step 5: Solve for x
    x = 1,232,308.13/529.31
  6. Step 6: Final answer
    x = 2,328.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.