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Finding the Third Proportional to 364,644 and 758,529

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Solution

The third proportional to 364,644 and 758,529 is: 1,577,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,644 : 758,529 = 758,529 : x
  2. Step 2: Convert to fraction form
    364,644/758,529 = 758,529/x
  3. Step 3: Cross multiply
    364,644x = 758,529 × 758,529
  4. Step 4: Simplify right side
    364,644x = 575,366,243,841
  5. Step 5: Solve for x
    x = 575,366,243,841/364,644
  6. Step 6: Final answer
    x = 1,577,884.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.