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Finding the Third Proportional to 378,434 and 569,231

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Solution

The third proportional to 378,434 and 569,231 is: 856,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,434 : 569,231 = 569,231 : x
  2. Step 2: Convert to fraction form
    378,434/569,231 = 569,231/x
  3. Step 3: Cross multiply
    378,434x = 569,231 × 569,231
  4. Step 4: Simplify right side
    378,434x = 324,023,931,361
  5. Step 5: Solve for x
    x = 324,023,931,361/378,434
  6. Step 6: Final answer
    x = 856,223.10

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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.