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Finding the Third Proportional to 273,664 and 588,076

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Solution

The third proportional to 273,664 and 588,076 is: 1,263,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,664 : 588,076 = 588,076 : x
  2. Step 2: Convert to fraction form
    273,664/588,076 = 588,076/x
  3. Step 3: Cross multiply
    273,664x = 588,076 × 588,076
  4. Step 4: Simplify right side
    273,664x = 345,833,381,776
  5. Step 5: Solve for x
    x = 345,833,381,776/273,664
  6. Step 6: Final answer
    x = 1,263,715.29

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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.