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Finding the Third Proportional to 436,965 and 590,371.50

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Solution

The third proportional to 436,965 and 590,371.50 is: 797,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,965 : 590,371.50 = 590,371.50 : x
  2. Step 2: Convert to fraction form
    436,965/590,371.50 = 590,371.50/x
  3. Step 3: Cross multiply
    436,965x = 590,371.50 × 590,371.50
  4. Step 4: Simplify right side
    436,965x = 348,538,508,012.25
  5. Step 5: Solve for x
    x = 348,538,508,012.25/436,965
  6. Step 6: Final answer
    x = 797,634.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.