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Finding the Third Proportional to 319,794 and 740,409

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Solution

The third proportional to 319,794 and 740,409 is: 1,714,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,794 : 740,409 = 740,409 : x
  2. Step 2: Convert to fraction form
    319,794/740,409 = 740,409/x
  3. Step 3: Cross multiply
    319,794x = 740,409 × 740,409
  4. Step 4: Simplify right side
    319,794x = 548,205,487,281
  5. Step 5: Solve for x
    x = 548,205,487,281/319,794
  6. Step 6: Final answer
    x = 1,714,245.69

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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.