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Finding the Third Proportional to 354,394 and 757,963

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Solution

The third proportional to 354,394 and 757,963 is: 1,621,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,394 : 757,963 = 757,963 : x
  2. Step 2: Convert to fraction form
    354,394/757,963 = 757,963/x
  3. Step 3: Cross multiply
    354,394x = 757,963 × 757,963
  4. Step 4: Simplify right side
    354,394x = 574,507,909,369
  5. Step 5: Solve for x
    x = 574,507,909,369/354,394
  6. Step 6: Final answer
    x = 1,621,099.42

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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.