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Finding the Third Proportional to 465,121.50 and 701,328

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Solution

The third proportional to 465,121.50 and 701,328 is: 1,057,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,121.50 : 701,328 = 701,328 : x
  2. Step 2: Convert to fraction form
    465,121.50/701,328 = 701,328/x
  3. Step 3: Cross multiply
    465,121.50x = 701,328 × 701,328
  4. Step 4: Simplify right side
    465,121.50x = 491,860,963,584
  5. Step 5: Solve for x
    x = 491,860,963,584/465,121.50
  6. Step 6: Final answer
    x = 1,057,489.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.