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Finding the Third Proportional to 635,714 and 960,052

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Solution

The third proportional to 635,714 and 960,052 is: 1,449,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,714 : 960,052 = 960,052 : x
  2. Step 2: Convert to fraction form
    635,714/960,052 = 960,052/x
  3. Step 3: Cross multiply
    635,714x = 960,052 × 960,052
  4. Step 4: Simplify right side
    635,714x = 921,699,842,704
  5. Step 5: Solve for x
    x = 921,699,842,704/635,714
  6. Step 6: Final answer
    x = 1,449,865.57

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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.