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Finding the Third Proportional to 383,456 and 805,453

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Solution

The third proportional to 383,456 and 805,453 is: 1,691,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,456 : 805,453 = 805,453 : x
  2. Step 2: Convert to fraction form
    383,456/805,453 = 805,453/x
  3. Step 3: Cross multiply
    383,456x = 805,453 × 805,453
  4. Step 4: Simplify right side
    383,456x = 648,754,535,209
  5. Step 5: Solve for x
    x = 648,754,535,209/383,456
  6. Step 6: Final answer
    x = 1,691,861.74

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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.