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Finding the Third Proportional to 461,784 and 690,831

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Solution

The third proportional to 461,784 and 690,831 is: 1,033,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,784 : 690,831 = 690,831 : x
  2. Step 2: Convert to fraction form
    461,784/690,831 = 690,831/x
  3. Step 3: Cross multiply
    461,784x = 690,831 × 690,831
  4. Step 4: Simplify right side
    461,784x = 477,247,470,561
  5. Step 5: Solve for x
    x = 477,247,470,561/461,784
  6. Step 6: Final answer
    x = 1,033,486.37

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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.