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Finding the Third Proportional to 277,610.63 and 597,331.13

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Solution

The third proportional to 277,610.63 and 597,331.13 is: 1,285,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,610.63 : 597,331.13 = 597,331.13 : x
  2. Step 2: Convert to fraction form
    277,610.63/597,331.13 = 597,331.13/x
  3. Step 3: Cross multiply
    277,610.63x = 597,331.13 × 597,331.13
  4. Step 4: Simplify right side
    277,610.63x = 356,804,472,893.77
  5. Step 5: Solve for x
    x = 356,804,472,893.77/277,610.63
  6. Step 6: Final answer
    x = 1,285,269.51

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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.