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Finding the Third Proportional to 617,324 and 927,629.50

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Solution

The third proportional to 617,324 and 927,629.50 is: 1,393,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,324 : 927,629.50 = 927,629.50 : x
  2. Step 2: Convert to fraction form
    617,324/927,629.50 = 927,629.50/x
  3. Step 3: Cross multiply
    617,324x = 927,629.50 × 927,629.50
  4. Step 4: Simplify right side
    617,324x = 860,496,489,270.25
  5. Step 5: Solve for x
    x = 860,496,489,270.25/617,324
  6. Step 6: Final answer
    x = 1,393,913.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.