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Finding the Third Proportional to 526.03 and 1,116.09

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Solution

The third proportional to 526.03 and 1,116.09 is: 2,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.03 : 1,116.09 = 1,116.09 : x
  2. Step 2: Convert to fraction form
    526.03/1,116.09 = 1,116.09/x
  3. Step 3: Cross multiply
    526.03x = 1,116.09 × 1,116.09
  4. Step 4: Simplify right side
    526.03x = 1,245,665.26
  5. Step 5: Solve for x
    x = 1,245,665.26/526.03
  6. Step 6: Final answer
    x = 2,368.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.