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Finding the Third Proportional to 344,628 and 514,872

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Solution

The third proportional to 344,628 and 514,872 is: 769,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,628 : 514,872 = 514,872 : x
  2. Step 2: Convert to fraction form
    344,628/514,872 = 514,872/x
  3. Step 3: Cross multiply
    344,628x = 514,872 × 514,872
  4. Step 4: Simplify right side
    344,628x = 265,093,176,384
  5. Step 5: Solve for x
    x = 265,093,176,384/344,628
  6. Step 6: Final answer
    x = 769,215.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.