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Finding the Third Proportional to 296,607.94 and 635,250.94

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Solution

The third proportional to 296,607.94 and 635,250.94 is: 1,360,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,607.94 : 635,250.94 = 635,250.94 : x
  2. Step 2: Convert to fraction form
    296,607.94/635,250.94 = 635,250.94/x
  3. Step 3: Cross multiply
    296,607.94x = 635,250.94 × 635,250.94
  4. Step 4: Simplify right side
    296,607.94x = 403,543,753,594.63
  5. Step 5: Solve for x
    x = 403,543,753,594.63/296,607.94
  6. Step 6: Final answer
    x = 1,360,529.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.