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Finding the Third Proportional to 291,610 and 606,487

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Solution

The third proportional to 291,610 and 606,487 is: 1,261,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,610 : 606,487 = 606,487 : x
  2. Step 2: Convert to fraction form
    291,610/606,487 = 606,487/x
  3. Step 3: Cross multiply
    291,610x = 606,487 × 606,487
  4. Step 4: Simplify right side
    291,610x = 367,826,481,169
  5. Step 5: Solve for x
    x = 367,826,481,169/291,610
  6. Step 6: Final answer
    x = 1,261,364.43

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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.