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Finding the Third Proportional to 296,113.50 and 422,023.50

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Solution

The third proportional to 296,113.50 and 422,023.50 is: 601,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,113.50 : 422,023.50 = 422,023.50 : x
  2. Step 2: Convert to fraction form
    296,113.50/422,023.50 = 422,023.50/x
  3. Step 3: Cross multiply
    296,113.50x = 422,023.50 × 422,023.50
  4. Step 4: Simplify right side
    296,113.50x = 178,103,834,552.25
  5. Step 5: Solve for x
    x = 178,103,834,552.25/296,113.50
  6. Step 6: Final answer
    x = 601,471.51

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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.