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Finding the Third Proportional to 319,912 and 740,596

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Solution

The third proportional to 319,912 and 740,596 is: 1,714,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,912 : 740,596 = 740,596 : x
  2. Step 2: Convert to fraction form
    319,912/740,596 = 740,596/x
  3. Step 3: Cross multiply
    319,912x = 740,596 × 740,596
  4. Step 4: Simplify right side
    319,912x = 548,482,435,216
  5. Step 5: Solve for x
    x = 548,482,435,216/319,912
  6. Step 6: Final answer
    x = 1,714,479.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.