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Finding the Third Proportional to 291,223.50 and 622,937.25

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Solution

The third proportional to 291,223.50 and 622,937.25 is: 1,332,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,223.50 : 622,937.25 = 622,937.25 : x
  2. Step 2: Convert to fraction form
    291,223.50/622,937.25 = 622,937.25/x
  3. Step 3: Cross multiply
    291,223.50x = 622,937.25 × 622,937.25
  4. Step 4: Simplify right side
    291,223.50x = 388,050,817,437.56
  5. Step 5: Solve for x
    x = 388,050,817,437.56/291,223.50
  6. Step 6: Final answer
    x = 1,332,484.56

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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.