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Finding the Third Proportional to 277,530.75 and 597,160.13

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Solution

The third proportional to 277,530.75 and 597,160.13 is: 1,284,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,530.75 : 597,160.13 = 597,160.13 : x
  2. Step 2: Convert to fraction form
    277,530.75/597,160.13 = 597,160.13/x
  3. Step 3: Cross multiply
    277,530.75x = 597,160.13 × 597,160.13
  4. Step 4: Simplify right side
    277,530.75x = 356,600,214,890.02
  5. Step 5: Solve for x
    x = 356,600,214,890.02/277,530.75
  6. Step 6: Final answer
    x = 1,284,903.44

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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.