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Finding the Third Proportional to 291,108 and 462,907

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Solution

The third proportional to 291,108 and 462,907 is: 736,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,108 : 462,907 = 462,907 : x
  2. Step 2: Convert to fraction form
    291,108/462,907 = 462,907/x
  3. Step 3: Cross multiply
    291,108x = 462,907 × 462,907
  4. Step 4: Simplify right side
    291,108x = 214,282,890,649
  5. Step 5: Solve for x
    x = 214,282,890,649/291,108
  6. Step 6: Final answer
    x = 736,094.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.