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Finding the Third Proportional to 355,074 and 769,242

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Solution

The third proportional to 355,074 and 769,242 is: 1,666,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,074 : 769,242 = 769,242 : x
  2. Step 2: Convert to fraction form
    355,074/769,242 = 769,242/x
  3. Step 3: Cross multiply
    355,074x = 769,242 × 769,242
  4. Step 4: Simplify right side
    355,074x = 591,733,254,564
  5. Step 5: Solve for x
    x = 591,733,254,564/355,074
  6. Step 6: Final answer
    x = 1,666,506.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.