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Finding the Third Proportional to 350,814 and 771,612

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Solution

The third proportional to 350,814 and 771,612 is: 1,697,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,814 : 771,612 = 771,612 : x
  2. Step 2: Convert to fraction form
    350,814/771,612 = 771,612/x
  3. Step 3: Cross multiply
    350,814x = 771,612 × 771,612
  4. Step 4: Simplify right side
    350,814x = 595,385,078,544
  5. Step 5: Solve for x
    x = 595,385,078,544/350,814
  6. Step 6: Final answer
    x = 1,697,153.13

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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.