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Finding the Third Proportional to 383,065 and 832,468

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Solution

The third proportional to 383,065 and 832,468 is: 1,809,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,065 : 832,468 = 832,468 : x
  2. Step 2: Convert to fraction form
    383,065/832,468 = 832,468/x
  3. Step 3: Cross multiply
    383,065x = 832,468 × 832,468
  4. Step 4: Simplify right side
    383,065x = 693,002,971,024
  5. Step 5: Solve for x
    x = 693,002,971,024/383,065
  6. Step 6: Final answer
    x = 1,809,100.21

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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.