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Finding the Third Proportional to 352,664 and 739,792

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Solution

The third proportional to 352,664 and 739,792 is: 1,551,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,664 : 739,792 = 739,792 : x
  2. Step 2: Convert to fraction form
    352,664/739,792 = 739,792/x
  3. Step 3: Cross multiply
    352,664x = 739,792 × 739,792
  4. Step 4: Simplify right side
    352,664x = 547,292,203,264
  5. Step 5: Solve for x
    x = 547,292,203,264/352,664
  6. Step 6: Final answer
    x = 1,551,879.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.