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Finding the Third Proportional to 277,135.50 and 595,707

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Solution

The third proportional to 277,135.50 and 595,707 is: 1,280,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,135.50 : 595,707 = 595,707 : x
  2. Step 2: Convert to fraction form
    277,135.50/595,707 = 595,707/x
  3. Step 3: Cross multiply
    277,135.50x = 595,707 × 595,707
  4. Step 4: Simplify right side
    277,135.50x = 354,866,829,849
  5. Step 5: Solve for x
    x = 354,866,829,849/277,135.50
  6. Step 6: Final answer
    x = 1,280,481.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.