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Finding the Third Proportional to 402,840 and 593,124

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Solution

The third proportional to 402,840 and 593,124 is: 873,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,840 : 593,124 = 593,124 : x
  2. Step 2: Convert to fraction form
    402,840/593,124 = 593,124/x
  3. Step 3: Cross multiply
    402,840x = 593,124 × 593,124
  4. Step 4: Simplify right side
    402,840x = 351,796,079,376
  5. Step 5: Solve for x
    x = 351,796,079,376/402,840
  6. Step 6: Final answer
    x = 873,289.84

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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.