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Finding the Third Proportional to 319,927 and 700,118

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Solution

The third proportional to 319,927 and 700,118 is: 1,532,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,927 : 700,118 = 700,118 : x
  2. Step 2: Convert to fraction form
    319,927/700,118 = 700,118/x
  3. Step 3: Cross multiply
    319,927x = 700,118 × 700,118
  4. Step 4: Simplify right side
    319,927x = 490,165,213,924
  5. Step 5: Solve for x
    x = 490,165,213,924/319,927
  6. Step 6: Final answer
    x = 1,532,115.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.