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Finding the Third Proportional to 304,429.50 and 657,640.50

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Solution

The third proportional to 304,429.50 and 657,640.50 is: 1,420,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,429.50 : 657,640.50 = 657,640.50 : x
  2. Step 2: Convert to fraction form
    304,429.50/657,640.50 = 657,640.50/x
  3. Step 3: Cross multiply
    304,429.50x = 657,640.50 × 657,640.50
  4. Step 4: Simplify right side
    304,429.50x = 432,491,027,240.25
  5. Step 5: Solve for x
    x = 432,491,027,240.25/304,429.50
  6. Step 6: Final answer
    x = 1,420,660.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.