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Finding the Third Proportional to 339,580.69 and 738,127.69

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Solution

The third proportional to 339,580.69 and 738,127.69 is: 1,604,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,580.69 : 738,127.69 = 738,127.69 : x
  2. Step 2: Convert to fraction form
    339,580.69/738,127.69 = 738,127.69/x
  3. Step 3: Cross multiply
    339,580.69x = 738,127.69 × 738,127.69
  4. Step 4: Simplify right side
    339,580.69x = 544,832,483,054.10
  5. Step 5: Solve for x
    x = 544,832,483,054.10/339,580.69
  6. Step 6: Final answer
    x = 1,604,427.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.