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Finding the Third Proportional to 535,648.50 and 726,657.75

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Solution

The third proportional to 535,648.50 and 726,657.75 is: 985,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,648.50 : 726,657.75 = 726,657.75 : x
  2. Step 2: Convert to fraction form
    535,648.50/726,657.75 = 726,657.75/x
  3. Step 3: Cross multiply
    535,648.50x = 726,657.75 × 726,657.75
  4. Step 4: Simplify right side
    535,648.50x = 528,031,485,635.06
  5. Step 5: Solve for x
    x = 528,031,485,635.06/535,648.50
  6. Step 6: Final answer
    x = 985,779.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.