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Finding the Third Proportional to 319,931 and 740,659.50

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Solution

The third proportional to 319,931 and 740,659.50 is: 1,714,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,931 : 740,659.50 = 740,659.50 : x
  2. Step 2: Convert to fraction form
    319,931/740,659.50 = 740,659.50/x
  3. Step 3: Cross multiply
    319,931x = 740,659.50 × 740,659.50
  4. Step 4: Simplify right side
    319,931x = 548,576,494,940.25
  5. Step 5: Solve for x
    x = 548,576,494,940.25/319,931
  6. Step 6: Final answer
    x = 1,714,671.27

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