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Finding the Third Proportional to 296,904 and 639,733.50

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Solution

The third proportional to 296,904 and 639,733.50 is: 1,378,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,904 : 639,733.50 = 639,733.50 : x
  2. Step 2: Convert to fraction form
    296,904/639,733.50 = 639,733.50/x
  3. Step 3: Cross multiply
    296,904x = 639,733.50 × 639,733.50
  4. Step 4: Simplify right side
    296,904x = 409,258,951,022.25
  5. Step 5: Solve for x
    x = 409,258,951,022.25/296,904
  6. Step 6: Final answer
    x = 1,378,421.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.