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Finding the Third Proportional to 635,678.53 and 959,429.06

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Solution

The third proportional to 635,678.53 and 959,429.06 is: 1,448,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,678.53 : 959,429.06 = 959,429.06 : x
  2. Step 2: Convert to fraction form
    635,678.53/959,429.06 = 959,429.06/x
  3. Step 3: Cross multiply
    635,678.53x = 959,429.06 × 959,429.06
  4. Step 4: Simplify right side
    635,678.53x = 920,504,125,969.63
  5. Step 5: Solve for x
    x = 920,504,125,969.63/635,678.53
  6. Step 6: Final answer
    x = 1,448,065.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.