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Finding the Third Proportional to 339,648 and 724,368

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Solution

The third proportional to 339,648 and 724,368 is: 1,544,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,648 : 724,368 = 724,368 : x
  2. Step 2: Convert to fraction form
    339,648/724,368 = 724,368/x
  3. Step 3: Cross multiply
    339,648x = 724,368 × 724,368
  4. Step 4: Simplify right side
    339,648x = 524,708,999,424
  5. Step 5: Solve for x
    x = 524,708,999,424/339,648
  6. Step 6: Final answer
    x = 1,544,861.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.