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Finding the Third Proportional to 277,095.94 and 595,631.81

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Solution

The third proportional to 277,095.94 and 595,631.81 is: 1,280,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,095.94 : 595,631.81 = 595,631.81 : x
  2. Step 2: Convert to fraction form
    277,095.94/595,631.81 = 595,631.81/x
  3. Step 3: Cross multiply
    277,095.94x = 595,631.81 × 595,631.81
  4. Step 4: Simplify right side
    277,095.94x = 354,777,256,062.04
  5. Step 5: Solve for x
    x = 354,777,256,062.04/277,095.94
  6. Step 6: Final answer
    x = 1,280,340.88

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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.