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Finding the Third Proportional to 354,770 and 530,757

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Solution

The third proportional to 354,770 and 530,757 is: 794,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,770 : 530,757 = 530,757 : x
  2. Step 2: Convert to fraction form
    354,770/530,757 = 530,757/x
  3. Step 3: Cross multiply
    354,770x = 530,757 × 530,757
  4. Step 4: Simplify right side
    354,770x = 281,702,993,049
  5. Step 5: Solve for x
    x = 281,702,993,049/354,770
  6. Step 6: Final answer
    x = 794,044.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.