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Finding the Third Proportional to 344,681 and 729,105

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Solution

The third proportional to 344,681 and 729,105 is: 1,542,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,681 : 729,105 = 729,105 : x
  2. Step 2: Convert to fraction form
    344,681/729,105 = 729,105/x
  3. Step 3: Cross multiply
    344,681x = 729,105 × 729,105
  4. Step 4: Simplify right side
    344,681x = 531,594,101,025
  5. Step 5: Solve for x
    x = 531,594,101,025/344,681
  6. Step 6: Final answer
    x = 1,542,278.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.