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Finding the Third Proportional to 383,140 and 832,599

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Solution

The third proportional to 383,140 and 832,599 is: 1,809,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,140 : 832,599 = 832,599 : x
  2. Step 2: Convert to fraction form
    383,140/832,599 = 832,599/x
  3. Step 3: Cross multiply
    383,140x = 832,599 × 832,599
  4. Step 4: Simplify right side
    383,140x = 693,221,094,801
  5. Step 5: Solve for x
    x = 693,221,094,801/383,140
  6. Step 6: Final answer
    x = 1,809,315.38

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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.