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Finding the Third Proportional to 319,928 and 740,652

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Solution

The third proportional to 319,928 and 740,652 is: 1,714,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,928 : 740,652 = 740,652 : x
  2. Step 2: Convert to fraction form
    319,928/740,652 = 740,652/x
  3. Step 3: Cross multiply
    319,928x = 740,652 × 740,652
  4. Step 4: Simplify right side
    319,928x = 548,565,385,104
  5. Step 5: Solve for x
    x = 548,565,385,104/319,928
  6. Step 6: Final answer
    x = 1,714,652.63

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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.