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Finding the Third Proportional to 296,335.97 and 640,056.94

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Solution

The third proportional to 296,335.97 and 640,056.94 is: 1,382,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,335.97 : 640,056.94 = 640,056.94 : x
  2. Step 2: Convert to fraction form
    296,335.97/640,056.94 = 640,056.94/x
  3. Step 3: Cross multiply
    296,335.97x = 640,056.94 × 640,056.94
  4. Step 4: Simplify right side
    296,335.97x = 409,672,883,241.88
  5. Step 5: Solve for x
    x = 409,672,883,241.88/296,335.97
  6. Step 6: Final answer
    x = 1,382,460.88

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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.