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Finding the Third Proportional to 275,670 and 595,356

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Solution

The third proportional to 275,670 and 595,356 is: 1,285,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,670 : 595,356 = 595,356 : x
  2. Step 2: Convert to fraction form
    275,670/595,356 = 595,356/x
  3. Step 3: Cross multiply
    275,670x = 595,356 × 595,356
  4. Step 4: Simplify right side
    275,670x = 354,448,766,736
  5. Step 5: Solve for x
    x = 354,448,766,736/275,670
  6. Step 6: Final answer
    x = 1,285,772.00

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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.