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Finding the Third Proportional to 232,421.91 and 477,327.94

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Solution

The third proportional to 232,421.91 and 477,327.94 is: 980,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,421.91 : 477,327.94 = 477,327.94 : x
  2. Step 2: Convert to fraction form
    232,421.91/477,327.94 = 477,327.94/x
  3. Step 3: Cross multiply
    232,421.91x = 477,327.94 × 477,327.94
  4. Step 4: Simplify right side
    232,421.91x = 227,841,959,918.00
  5. Step 5: Solve for x
    x = 227,841,959,918.00/232,421.91
  6. Step 6: Final answer
    x = 980,294.69

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.