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Finding the Third Proportional to 352,120.50 and 758,997

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Solution

The third proportional to 352,120.50 and 758,997 is: 1,636,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,120.50 : 758,997 = 758,997 : x
  2. Step 2: Convert to fraction form
    352,120.50/758,997 = 758,997/x
  3. Step 3: Cross multiply
    352,120.50x = 758,997 × 758,997
  4. Step 4: Simplify right side
    352,120.50x = 576,076,446,009
  5. Step 5: Solve for x
    x = 576,076,446,009/352,120.50
  6. Step 6: Final answer
    x = 1,636,020.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.