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Finding the Third Proportional to 291,564 and 606,405

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Solution

The third proportional to 291,564 and 606,405 is: 1,261,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,564 : 606,405 = 606,405 : x
  2. Step 2: Convert to fraction form
    291,564/606,405 = 606,405/x
  3. Step 3: Cross multiply
    291,564x = 606,405 × 606,405
  4. Step 4: Simplify right side
    291,564x = 367,727,024,025
  5. Step 5: Solve for x
    x = 367,727,024,025/291,564
  6. Step 6: Final answer
    x = 1,261,222.32

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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.