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Finding the Third Proportional to 364,932 and 783,567

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Solution

The third proportional to 364,932 and 783,567 is: 1,682,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,932 : 783,567 = 783,567 : x
  2. Step 2: Convert to fraction form
    364,932/783,567 = 783,567/x
  3. Step 3: Cross multiply
    364,932x = 783,567 × 783,567
  4. Step 4: Simplify right side
    364,932x = 613,977,243,489
  5. Step 5: Solve for x
    x = 613,977,243,489/364,932
  6. Step 6: Final answer
    x = 1,682,442.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.