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Finding the Third Proportional to 554.13 and 1,017.14

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Solution

The third proportional to 554.13 and 1,017.14 is: 1,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.13 : 1,017.14 = 1,017.14 : x
  2. Step 2: Convert to fraction form
    554.13/1,017.14 = 1,017.14/x
  3. Step 3: Cross multiply
    554.13x = 1,017.14 × 1,017.14
  4. Step 4: Simplify right side
    554.13x = 1,034,575.05
  5. Step 5: Solve for x
    x = 1,034,575.05/554.13
  6. Step 6: Final answer
    x = 1,867.02

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.