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Finding the Third Proportional to 271,770 and 597,306

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Solution

The third proportional to 271,770 and 597,306 is: 1,312,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,770 : 597,306 = 597,306 : x
  2. Step 2: Convert to fraction form
    271,770/597,306 = 597,306/x
  3. Step 3: Cross multiply
    271,770x = 597,306 × 597,306
  4. Step 4: Simplify right side
    271,770x = 356,774,457,636
  5. Step 5: Solve for x
    x = 356,774,457,636/271,770
  6. Step 6: Final answer
    x = 1,312,780.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.