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Finding the Third Proportional to 338,380 and 720,664

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Solution

The third proportional to 338,380 and 720,664 is: 1,534,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,380 : 720,664 = 720,664 : x
  2. Step 2: Convert to fraction form
    338,380/720,664 = 720,664/x
  3. Step 3: Cross multiply
    338,380x = 720,664 × 720,664
  4. Step 4: Simplify right side
    338,380x = 519,356,600,896
  5. Step 5: Solve for x
    x = 519,356,600,896/338,380
  6. Step 6: Final answer
    x = 1,534,832.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.