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Finding the Third Proportional to 373,642 and 809,492

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Solution

The third proportional to 373,642 and 809,492 is: 1,753,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,642 : 809,492 = 809,492 : x
  2. Step 2: Convert to fraction form
    373,642/809,492 = 809,492/x
  3. Step 3: Cross multiply
    373,642x = 809,492 × 809,492
  4. Step 4: Simplify right side
    373,642x = 655,277,298,064
  5. Step 5: Solve for x
    x = 655,277,298,064/373,642
  6. Step 6: Final answer
    x = 1,753,757.07

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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.