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Finding the Third Proportional to 277,580 and 597,261

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Solution

The third proportional to 277,580 and 597,261 is: 1,285,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,580 : 597,261 = 597,261 : x
  2. Step 2: Convert to fraction form
    277,580/597,261 = 597,261/x
  3. Step 3: Cross multiply
    277,580x = 597,261 × 597,261
  4. Step 4: Simplify right side
    277,580x = 356,720,702,121
  5. Step 5: Solve for x
    x = 356,720,702,121/277,580
  6. Step 6: Final answer
    x = 1,285,109.53

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