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Finding the Third Proportional to 344,720 and 757,466

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Solution

The third proportional to 344,720 and 757,466 is: 1,664,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,720 : 757,466 = 757,466 : x
  2. Step 2: Convert to fraction form
    344,720/757,466 = 757,466/x
  3. Step 3: Cross multiply
    344,720x = 757,466 × 757,466
  4. Step 4: Simplify right side
    344,720x = 573,754,741,156
  5. Step 5: Solve for x
    x = 573,754,741,156/344,720
  6. Step 6: Final answer
    x = 1,664,408.04

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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.