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Finding the Third Proportional to 635,617.13 and 942,429.94

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Solution

The third proportional to 635,617.13 and 942,429.94 is: 1,397,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,617.13 : 942,429.94 = 942,429.94 : x
  2. Step 2: Convert to fraction form
    635,617.13/942,429.94 = 942,429.94/x
  3. Step 3: Cross multiply
    635,617.13x = 942,429.94 × 942,429.94
  4. Step 4: Simplify right side
    635,617.13x = 888,174,187,096.25
  5. Step 5: Solve for x
    x = 888,174,187,096.25/635,617.13
  6. Step 6: Final answer
    x = 1,397,341.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.