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Finding the Third Proportional to 402,238 and 593,970

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Solution

The third proportional to 402,238 and 593,970 is: 877,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,238 : 593,970 = 593,970 : x
  2. Step 2: Convert to fraction form
    402,238/593,970 = 593,970/x
  3. Step 3: Cross multiply
    402,238x = 593,970 × 593,970
  4. Step 4: Simplify right side
    402,238x = 352,800,360,900
  5. Step 5: Solve for x
    x = 352,800,360,900/402,238
  6. Step 6: Final answer
    x = 877,093.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.