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Finding the Third Proportional to 304,006.50 and 661,513.50

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Solution

The third proportional to 304,006.50 and 661,513.50 is: 1,439,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,006.50 : 661,513.50 = 661,513.50 : x
  2. Step 2: Convert to fraction form
    304,006.50/661,513.50 = 661,513.50/x
  3. Step 3: Cross multiply
    304,006.50x = 661,513.50 × 661,513.50
  4. Step 4: Simplify right side
    304,006.50x = 437,600,110,682.25
  5. Step 5: Solve for x
    x = 437,600,110,682.25/304,006.50
  6. Step 6: Final answer
    x = 1,439,443.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.