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Finding the Third Proportional to 296,326 and 640,035.50

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Solution

The third proportional to 296,326 and 640,035.50 is: 1,382,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,326 : 640,035.50 = 640,035.50 : x
  2. Step 2: Convert to fraction form
    296,326/640,035.50 = 640,035.50/x
  3. Step 3: Cross multiply
    296,326x = 640,035.50 × 640,035.50
  4. Step 4: Simplify right side
    296,326x = 409,645,441,260.25
  5. Step 5: Solve for x
    x = 409,645,441,260.25/296,326
  6. Step 6: Final answer
    x = 1,382,414.78

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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.