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Finding the Third Proportional to 291,222 and 638,536.50

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Solution

The third proportional to 291,222 and 638,536.50 is: 1,400,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,222 : 638,536.50 = 638,536.50 : x
  2. Step 2: Convert to fraction form
    291,222/638,536.50 = 638,536.50/x
  3. Step 3: Cross multiply
    291,222x = 638,536.50 × 638,536.50
  4. Step 4: Simplify right side
    291,222x = 407,728,861,832.25
  5. Step 5: Solve for x
    x = 407,728,861,832.25/291,222
  6. Step 6: Final answer
    x = 1,400,062.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.