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Finding the Third Proportional to 291,237 and 622,963.50

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Solution

The third proportional to 291,237 and 622,963.50 is: 1,332,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,237 : 622,963.50 = 622,963.50 : x
  2. Step 2: Convert to fraction form
    291,237/622,963.50 = 622,963.50/x
  3. Step 3: Cross multiply
    291,237x = 622,963.50 × 622,963.50
  4. Step 4: Simplify right side
    291,237x = 388,083,522,332.25
  5. Step 5: Solve for x
    x = 388,083,522,332.25/291,237
  6. Step 6: Final answer
    x = 1,332,535.09

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