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Finding the Third Proportional to 291,074 and 462,855

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Solution

The third proportional to 291,074 and 462,855 is: 736,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,074 : 462,855 = 462,855 : x
  2. Step 2: Convert to fraction form
    291,074/462,855 = 462,855/x
  3. Step 3: Cross multiply
    291,074x = 462,855 × 462,855
  4. Step 4: Simplify right side
    291,074x = 214,234,751,025
  5. Step 5: Solve for x
    x = 214,234,751,025/291,074
  6. Step 6: Final answer
    x = 736,014.73

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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.