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Finding the Third Proportional to 383,436 and 806,523.75

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Solution

The third proportional to 383,436 and 806,523.75 is: 1,696,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,436 : 806,523.75 = 806,523.75 : x
  2. Step 2: Convert to fraction form
    383,436/806,523.75 = 806,523.75/x
  3. Step 3: Cross multiply
    383,436x = 806,523.75 × 806,523.75
  4. Step 4: Simplify right side
    383,436x = 650,480,559,314.06
  5. Step 5: Solve for x
    x = 650,480,559,314.06/383,436
  6. Step 6: Final answer
    x = 1,696,451.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.