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Finding the Third Proportional to 291,906 and 629,412

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Solution

The third proportional to 291,906 and 629,412 is: 1,357,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,906 : 629,412 = 629,412 : x
  2. Step 2: Convert to fraction form
    291,906/629,412 = 629,412/x
  3. Step 3: Cross multiply
    291,906x = 629,412 × 629,412
  4. Step 4: Simplify right side
    291,906x = 396,159,465,744
  5. Step 5: Solve for x
    x = 396,159,465,744/291,906
  6. Step 6: Final answer
    x = 1,357,147.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.