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Finding the Third Proportional to 427,600.50 and 929,124

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Solution

The third proportional to 427,600.50 and 929,124 is: 2,018,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,600.50 : 929,124 = 929,124 : x
  2. Step 2: Convert to fraction form
    427,600.50/929,124 = 929,124/x
  3. Step 3: Cross multiply
    427,600.50x = 929,124 × 929,124
  4. Step 4: Simplify right side
    427,600.50x = 863,271,407,376
  5. Step 5: Solve for x
    x = 863,271,407,376/427,600.50
  6. Step 6: Final answer
    x = 2,018,873.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.