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Finding the Third Proportional to 545.63 and 835.59

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Solution

The third proportional to 545.63 and 835.59 is: 1,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 835.59 = 835.59 : x
  2. Step 2: Convert to fraction form
    545.63/835.59 = 835.59/x
  3. Step 3: Cross multiply
    545.63x = 835.59 × 835.59
  4. Step 4: Simplify right side
    545.63x = 698,216.92
  5. Step 5: Solve for x
    x = 698,216.92/545.63
  6. Step 6: Final answer
    x = 1,279.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.