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Finding the Third Proportional to 331,592 and 725,392

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Solution

The third proportional to 331,592 and 725,392 is: 1,586,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,592 : 725,392 = 725,392 : x
  2. Step 2: Convert to fraction form
    331,592/725,392 = 725,392/x
  3. Step 3: Cross multiply
    331,592x = 725,392 × 725,392
  4. Step 4: Simplify right side
    331,592x = 526,193,553,664
  5. Step 5: Solve for x
    x = 526,193,553,664/331,592
  6. Step 6: Final answer
    x = 1,586,870.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.