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Finding the Third Proportional to 291,963 and 629,502

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Solution

The third proportional to 291,963 and 629,502 is: 1,357,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,963 : 629,502 = 629,502 : x
  2. Step 2: Convert to fraction form
    291,963/629,502 = 629,502/x
  3. Step 3: Cross multiply
    291,963x = 629,502 × 629,502
  4. Step 4: Simplify right side
    291,963x = 396,272,768,004
  5. Step 5: Solve for x
    x = 396,272,768,004/291,963
  6. Step 6: Final answer
    x = 1,357,270.50

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