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Finding the Third Proportional to 340,390.69 and 462,511.69

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Solution

The third proportional to 340,390.69 and 462,511.69 is: 628,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,390.69 : 462,511.69 = 462,511.69 : x
  2. Step 2: Convert to fraction form
    340,390.69/462,511.69 = 462,511.69/x
  3. Step 3: Cross multiply
    340,390.69x = 462,511.69 × 462,511.69
  4. Step 4: Simplify right side
    340,390.69x = 213,917,061,074.10
  5. Step 5: Solve for x
    x = 213,917,061,074.10/340,390.69
  6. Step 6: Final answer
    x = 628,445.69

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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.