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Finding the Third Proportional to 291,213 and 622,907

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Solution

The third proportional to 291,213 and 622,907 is: 1,332,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213 : 622,907 = 622,907 : x
  2. Step 2: Convert to fraction form
    291,213/622,907 = 622,907/x
  3. Step 3: Cross multiply
    291,213x = 622,907 × 622,907
  4. Step 4: Simplify right side
    291,213x = 388,013,130,649
  5. Step 5: Solve for x
    x = 388,013,130,649/291,213
  6. Step 6: Final answer
    x = 1,332,403.19

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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.