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Finding the Third Proportional to 383,159 and 832,642

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Solution

The third proportional to 383,159 and 832,642 is: 1,809,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,159 : 832,642 = 832,642 : x
  2. Step 2: Convert to fraction form
    383,159/832,642 = 832,642/x
  3. Step 3: Cross multiply
    383,159x = 832,642 × 832,642
  4. Step 4: Simplify right side
    383,159x = 693,292,700,164
  5. Step 5: Solve for x
    x = 693,292,700,164/383,159
  6. Step 6: Final answer
    x = 1,809,412.54

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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.