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Finding the Third Proportional to 322,192 and 758,128

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Solution

The third proportional to 322,192 and 758,128 is: 1,783,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,192 : 758,128 = 758,128 : x
  2. Step 2: Convert to fraction form
    322,192/758,128 = 758,128/x
  3. Step 3: Cross multiply
    322,192x = 758,128 × 758,128
  4. Step 4: Simplify right side
    322,192x = 574,758,064,384
  5. Step 5: Solve for x
    x = 574,758,064,384/322,192
  6. Step 6: Final answer
    x = 1,783,899.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.