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Finding the Third Proportional to 331,464 and 725,622

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Solution

The third proportional to 331,464 and 725,622 is: 1,588,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,464 : 725,622 = 725,622 : x
  2. Step 2: Convert to fraction form
    331,464/725,622 = 725,622/x
  3. Step 3: Cross multiply
    331,464x = 725,622 × 725,622
  4. Step 4: Simplify right side
    331,464x = 526,527,286,884
  5. Step 5: Solve for x
    x = 526,527,286,884/331,464
  6. Step 6: Final answer
    x = 1,588,490.11

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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.