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Finding the Third Proportional to 383,154 and 832,632

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Solution

The third proportional to 383,154 and 832,632 is: 1,809,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,154 : 832,632 = 832,632 : x
  2. Step 2: Convert to fraction form
    383,154/832,632 = 832,632/x
  3. Step 3: Cross multiply
    383,154x = 832,632 × 832,632
  4. Step 4: Simplify right side
    383,154x = 693,276,047,424
  5. Step 5: Solve for x
    x = 693,276,047,424/383,154
  6. Step 6: Final answer
    x = 1,809,392.69

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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.