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Finding the Third Proportional to 291,209 and 622,901

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Solution

The third proportional to 291,209 and 622,901 is: 1,332,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209 : 622,901 = 622,901 : x
  2. Step 2: Convert to fraction form
    291,209/622,901 = 622,901/x
  3. Step 3: Cross multiply
    291,209x = 622,901 × 622,901
  4. Step 4: Simplify right side
    291,209x = 388,005,655,801
  5. Step 5: Solve for x
    x = 388,005,655,801/291,209
  6. Step 6: Final answer
    x = 1,332,395.82

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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.