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Finding the Third Proportional to 291,350 and 633,973

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Solution

The third proportional to 291,350 and 633,973 is: 1,379,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,350 : 633,973 = 633,973 : x
  2. Step 2: Convert to fraction form
    291,350/633,973 = 633,973/x
  3. Step 3: Cross multiply
    291,350x = 633,973 × 633,973
  4. Step 4: Simplify right side
    291,350x = 401,921,764,729
  5. Step 5: Solve for x
    x = 401,921,764,729/291,350
  6. Step 6: Final answer
    x = 1,379,515.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.