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Finding the Third Proportional to 554.26 and 835.47

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Solution

The third proportional to 554.26 and 835.47 is: 1,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.26 : 835.47 = 835.47 : x
  2. Step 2: Convert to fraction form
    554.26/835.47 = 835.47/x
  3. Step 3: Cross multiply
    554.26x = 835.47 × 835.47
  4. Step 4: Simplify right side
    554.26x = 698,011.30
  5. Step 5: Solve for x
    x = 698,011.30/554.26
  6. Step 6: Final answer
    x = 1,259.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.