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Finding the Third Proportional to 465,054 and 700,997

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Solution

The third proportional to 465,054 and 700,997 is: 1,056,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,054 : 700,997 = 700,997 : x
  2. Step 2: Convert to fraction form
    465,054/700,997 = 700,997/x
  3. Step 3: Cross multiply
    465,054x = 700,997 × 700,997
  4. Step 4: Simplify right side
    465,054x = 491,396,794,009
  5. Step 5: Solve for x
    x = 491,396,794,009/465,054
  6. Step 6: Final answer
    x = 1,056,644.59

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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.