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Finding the Third Proportional to 344,665.13 and 757,366.45

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Solution

The third proportional to 344,665.13 and 757,366.45 is: 1,664,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,665.13 : 757,366.45 = 757,366.45 : x
  2. Step 2: Convert to fraction form
    344,665.13/757,366.45 = 757,366.45/x
  3. Step 3: Cross multiply
    344,665.13x = 757,366.45 × 757,366.45
  4. Step 4: Simplify right side
    344,665.13x = 573,603,944,319.14
  5. Step 5: Solve for x
    x = 573,603,944,319.14/344,665.13
  6. Step 6: Final answer
    x = 1,664,235.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.