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Finding the Third Proportional to 345,162 and 739,497

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Solution

The third proportional to 345,162 and 739,497 is: 1,584,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,162 : 739,497 = 739,497 : x
  2. Step 2: Convert to fraction form
    345,162/739,497 = 739,497/x
  3. Step 3: Cross multiply
    345,162x = 739,497 × 739,497
  4. Step 4: Simplify right side
    345,162x = 546,855,813,009
  5. Step 5: Solve for x
    x = 546,855,813,009/345,162
  6. Step 6: Final answer
    x = 1,584,345.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.