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Finding the Third Proportional to 291,444 and 463,422

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Solution

The third proportional to 291,444 and 463,422 is: 736,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,444 : 463,422 = 463,422 : x
  2. Step 2: Convert to fraction form
    291,444/463,422 = 463,422/x
  3. Step 3: Cross multiply
    291,444x = 463,422 × 463,422
  4. Step 4: Simplify right side
    291,444x = 214,759,950,084
  5. Step 5: Solve for x
    x = 214,759,950,084/291,444
  6. Step 6: Final answer
    x = 736,882.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.