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Finding the Third Proportional to 354,393 and 757,962

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Solution

The third proportional to 354,393 and 757,962 is: 1,621,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,393 : 757,962 = 757,962 : x
  2. Step 2: Convert to fraction form
    354,393/757,962 = 757,962/x
  3. Step 3: Cross multiply
    354,393x = 757,962 × 757,962
  4. Step 4: Simplify right side
    354,393x = 574,506,393,444
  5. Step 5: Solve for x
    x = 574,506,393,444/354,393
  6. Step 6: Final answer
    x = 1,621,099.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.