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Finding the Third Proportional to 735,697.69 and 998,570.53

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Solution

The third proportional to 735,697.69 and 998,570.53 is: 1,355,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,697.69 : 998,570.53 = 998,570.53 : x
  2. Step 2: Convert to fraction form
    735,697.69/998,570.53 = 998,570.53/x
  3. Step 3: Cross multiply
    735,697.69x = 998,570.53 × 998,570.53
  4. Step 4: Simplify right side
    735,697.69x = 997,143,105,880.91
  5. Step 5: Solve for x
    x = 997,143,105,880.91/735,697.69
  6. Step 6: Final answer
    x = 1,355,370.72

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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.