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Finding the Third Proportional to 403,224 and 593,156

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Solution

The third proportional to 403,224 and 593,156 is: 872,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,224 : 593,156 = 593,156 : x
  2. Step 2: Convert to fraction form
    403,224/593,156 = 593,156/x
  3. Step 3: Cross multiply
    403,224x = 593,156 × 593,156
  4. Step 4: Simplify right side
    403,224x = 351,834,040,336
  5. Step 5: Solve for x
    x = 351,834,040,336/403,224
  6. Step 6: Final answer
    x = 872,552.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.