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Finding the Third Proportional to 291,616 and 606,499

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Solution

The third proportional to 291,616 and 606,499 is: 1,261,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,616 : 606,499 = 606,499 : x
  2. Step 2: Convert to fraction form
    291,616/606,499 = 606,499/x
  3. Step 3: Cross multiply
    291,616x = 606,499 × 606,499
  4. Step 4: Simplify right side
    291,616x = 367,841,037,001
  5. Step 5: Solve for x
    x = 367,841,037,001/291,616
  6. Step 6: Final answer
    x = 1,261,388.39

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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.