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Finding the Third Proportional to 286,636 and 596,799

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Solution

The third proportional to 286,636 and 596,799 is: 1,242,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,636 : 596,799 = 596,799 : x
  2. Step 2: Convert to fraction form
    286,636/596,799 = 596,799/x
  3. Step 3: Cross multiply
    286,636x = 596,799 × 596,799
  4. Step 4: Simplify right side
    286,636x = 356,169,046,401
  5. Step 5: Solve for x
    x = 356,169,046,401/286,636
  6. Step 6: Final answer
    x = 1,242,583.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.