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Finding the Third Proportional to 319,424 and 703,660

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Solution

The third proportional to 319,424 and 703,660 is: 1,550,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,424 : 703,660 = 703,660 : x
  2. Step 2: Convert to fraction form
    319,424/703,660 = 703,660/x
  3. Step 3: Cross multiply
    319,424x = 703,660 × 703,660
  4. Step 4: Simplify right side
    319,424x = 495,137,395,600
  5. Step 5: Solve for x
    x = 495,137,395,600/319,424
  6. Step 6: Final answer
    x = 1,550,094.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.