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Finding the Third Proportional to 357,452 and 785,749

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Solution

The third proportional to 357,452 and 785,749 is: 1,727,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,452 : 785,749 = 785,749 : x
  2. Step 2: Convert to fraction form
    357,452/785,749 = 785,749/x
  3. Step 3: Cross multiply
    357,452x = 785,749 × 785,749
  4. Step 4: Simplify right side
    357,452x = 617,401,491,001
  5. Step 5: Solve for x
    x = 617,401,491,001/357,452
  6. Step 6: Final answer
    x = 1,727,229.09

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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.