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Finding the Third Proportional to 319,922 and 740,637

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Solution

The third proportional to 319,922 and 740,637 is: 1,714,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,922 : 740,637 = 740,637 : x
  2. Step 2: Convert to fraction form
    319,922/740,637 = 740,637/x
  3. Step 3: Cross multiply
    319,922x = 740,637 × 740,637
  4. Step 4: Simplify right side
    319,922x = 548,543,165,769
  5. Step 5: Solve for x
    x = 548,543,165,769/319,922
  6. Step 6: Final answer
    x = 1,714,615.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.