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Finding the Third Proportional to 263,224.13 and 376,421.63

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Solution

The third proportional to 263,224.13 and 376,421.63 is: 538,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,224.13 : 376,421.63 = 376,421.63 : x
  2. Step 2: Convert to fraction form
    263,224.13/376,421.63 = 376,421.63/x
  3. Step 3: Cross multiply
    263,224.13x = 376,421.63 × 376,421.63
  4. Step 4: Simplify right side
    263,224.13x = 141,693,239,767.64
  5. Step 5: Solve for x
    x = 141,693,239,767.64/263,224.13
  6. Step 6: Final answer
    x = 538,298.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.