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Finding the Third Proportional to 461,851 and 690,933

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Solution

The third proportional to 461,851 and 690,933 is: 1,033,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,851 : 690,933 = 690,933 : x
  2. Step 2: Convert to fraction form
    461,851/690,933 = 690,933/x
  3. Step 3: Cross multiply
    461,851x = 690,933 × 690,933
  4. Step 4: Simplify right side
    461,851x = 477,388,410,489
  5. Step 5: Solve for x
    x = 477,388,410,489/461,851
  6. Step 6: Final answer
    x = 1,033,641.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.