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Finding the Third Proportional to 277,523 and 601,702

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Solution

The third proportional to 277,523 and 601,702 is: 1,304,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523 : 601,702 = 601,702 : x
  2. Step 2: Convert to fraction form
    277,523/601,702 = 601,702/x
  3. Step 3: Cross multiply
    277,523x = 601,702 × 601,702
  4. Step 4: Simplify right side
    277,523x = 362,045,296,804
  5. Step 5: Solve for x
    x = 362,045,296,804/277,523
  6. Step 6: Final answer
    x = 1,304,559.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.