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Finding the Third Proportional to 304,053.75 and 437,977.13

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Solution

The third proportional to 304,053.75 and 437,977.13 is: 630,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,053.75 : 437,977.13 = 437,977.13 : x
  2. Step 2: Convert to fraction form
    304,053.75/437,977.13 = 437,977.13/x
  3. Step 3: Cross multiply
    304,053.75x = 437,977.13 × 437,977.13
  4. Step 4: Simplify right side
    304,053.75x = 191,823,962,023.27
  5. Step 5: Solve for x
    x = 191,823,962,023.27/304,053.75
  6. Step 6: Final answer
    x = 630,888.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.