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Finding the Third Proportional to 658,422 and 962,543.25

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Solution

The third proportional to 658,422 and 962,543.25 is: 1,407,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,422 : 962,543.25 = 962,543.25 : x
  2. Step 2: Convert to fraction form
    658,422/962,543.25 = 962,543.25/x
  3. Step 3: Cross multiply
    658,422x = 962,543.25 × 962,543.25
  4. Step 4: Simplify right side
    658,422x = 926,489,508,120.56
  5. Step 5: Solve for x
    x = 926,489,508,120.56/658,422
  6. Step 6: Final answer
    x = 1,407,136.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.