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Finding the Third Proportional to 554.34 and 861.89

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Solution

The third proportional to 554.34 and 861.89 is: 1,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.34 : 861.89 = 861.89 : x
  2. Step 2: Convert to fraction form
    554.34/861.89 = 861.89/x
  3. Step 3: Cross multiply
    554.34x = 861.89 × 861.89
  4. Step 4: Simplify right side
    554.34x = 742,855.45
  5. Step 5: Solve for x
    x = 742,855.45/554.34
  6. Step 6: Final answer
    x = 1,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.