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Finding the Third Proportional to 339,129 and 736,578

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Solution

The third proportional to 339,129 and 736,578 is: 1,599,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,129 : 736,578 = 736,578 : x
  2. Step 2: Convert to fraction form
    339,129/736,578 = 736,578/x
  3. Step 3: Cross multiply
    339,129x = 736,578 × 736,578
  4. Step 4: Simplify right side
    339,129x = 542,547,150,084
  5. Step 5: Solve for x
    x = 542,547,150,084/339,129
  6. Step 6: Final answer
    x = 1,599,825.29

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Why These Related Problems?

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