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Finding the Third Proportional to 510,355.69 and 769,636.69

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Solution

The third proportional to 510,355.69 and 769,636.69 is: 1,160,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,355.69 : 769,636.69 = 769,636.69 : x
  2. Step 2: Convert to fraction form
    510,355.69/769,636.69 = 769,636.69/x
  3. Step 3: Cross multiply
    510,355.69x = 769,636.69 × 769,636.69
  4. Step 4: Simplify right side
    510,355.69x = 592,340,630,745.97
  5. Step 5: Solve for x
    x = 592,340,630,745.97/510,355.69
  6. Step 6: Final answer
    x = 1,160,642.75

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