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Finding the Third Proportional to 291,567 and 606,411

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Solution

The third proportional to 291,567 and 606,411 is: 1,261,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,567 : 606,411 = 606,411 : x
  2. Step 2: Convert to fraction form
    291,567/606,411 = 606,411/x
  3. Step 3: Cross multiply
    291,567x = 606,411 × 606,411
  4. Step 4: Simplify right side
    291,567x = 367,734,300,921
  5. Step 5: Solve for x
    x = 367,734,300,921/291,567
  6. Step 6: Final answer
    x = 1,261,234.30

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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.