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Finding the Third Proportional to 402,940 and 593,274

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Solution

The third proportional to 402,940 and 593,274 is: 873,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,940 : 593,274 = 593,274 : x
  2. Step 2: Convert to fraction form
    402,940/593,274 = 593,274/x
  3. Step 3: Cross multiply
    402,940x = 593,274 × 593,274
  4. Step 4: Simplify right side
    402,940x = 351,974,039,076
  5. Step 5: Solve for x
    x = 351,974,039,076/402,940
  6. Step 6: Final answer
    x = 873,514.76

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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.