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Finding the Third Proportional to 402,914 and 593,235

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Solution

The third proportional to 402,914 and 593,235 is: 873,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,914 : 593,235 = 593,235 : x
  2. Step 2: Convert to fraction form
    402,914/593,235 = 593,235/x
  3. Step 3: Cross multiply
    402,914x = 593,235 × 593,235
  4. Step 4: Simplify right side
    402,914x = 351,927,765,225
  5. Step 5: Solve for x
    x = 351,927,765,225/402,914
  6. Step 6: Final answer
    x = 873,456.28

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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.