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Finding the Third Proportional to 284,799 and 606,408

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Solution

The third proportional to 284,799 and 606,408 is: 1,291,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,799 : 606,408 = 606,408 : x
  2. Step 2: Convert to fraction form
    284,799/606,408 = 606,408/x
  3. Step 3: Cross multiply
    284,799x = 606,408 × 606,408
  4. Step 4: Simplify right side
    284,799x = 367,730,662,464
  5. Step 5: Solve for x
    x = 367,730,662,464/284,799
  6. Step 6: Final answer
    x = 1,291,193.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.