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Finding the Third Proportional to 467,970 and 669,220.50

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Solution

The third proportional to 467,970 and 669,220.50 is: 957,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,970 : 669,220.50 = 669,220.50 : x
  2. Step 2: Convert to fraction form
    467,970/669,220.50 = 669,220.50/x
  3. Step 3: Cross multiply
    467,970x = 669,220.50 × 669,220.50
  4. Step 4: Simplify right side
    467,970x = 447,856,077,620.25
  5. Step 5: Solve for x
    x = 447,856,077,620.25/467,970
  6. Step 6: Final answer
    x = 957,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.