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Finding the Third Proportional to 340,012.69 and 744,501.38

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Solution

The third proportional to 340,012.69 and 744,501.38 is: 1,630,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,012.69 : 744,501.38 = 744,501.38 : x
  2. Step 2: Convert to fraction form
    340,012.69/744,501.38 = 744,501.38/x
  3. Step 3: Cross multiply
    340,012.69x = 744,501.38 × 744,501.38
  4. Step 4: Simplify right side
    340,012.69x = 554,282,297,376.89
  5. Step 5: Solve for x
    x = 554,282,297,376.89/340,012.69
  6. Step 6: Final answer
    x = 1,630,181.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.