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Finding the Third Proportional to 383,374 and 833,672

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Solution

The third proportional to 383,374 and 833,672 is: 1,812,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,374 : 833,672 = 833,672 : x
  2. Step 2: Convert to fraction form
    383,374/833,672 = 833,672/x
  3. Step 3: Cross multiply
    383,374x = 833,672 × 833,672
  4. Step 4: Simplify right side
    383,374x = 695,009,003,584
  5. Step 5: Solve for x
    x = 695,009,003,584/383,374
  6. Step 6: Final answer
    x = 1,812,874.64

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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.