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Finding the Third Proportional to 635,730 and 960,077

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Solution

The third proportional to 635,730 and 960,077 is: 1,449,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,730 : 960,077 = 960,077 : x
  2. Step 2: Convert to fraction form
    635,730/960,077 = 960,077/x
  3. Step 3: Cross multiply
    635,730x = 960,077 × 960,077
  4. Step 4: Simplify right side
    635,730x = 921,747,845,929
  5. Step 5: Solve for x
    x = 921,747,845,929/635,730
  6. Step 6: Final answer
    x = 1,449,904.59

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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.