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Finding the Third Proportional to 264,820 and 340,024

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Solution

The third proportional to 264,820 and 340,024 is: 436,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,820 : 340,024 = 340,024 : x
  2. Step 2: Convert to fraction form
    264,820/340,024 = 340,024/x
  3. Step 3: Cross multiply
    264,820x = 340,024 × 340,024
  4. Step 4: Simplify right side
    264,820x = 115,616,320,576
  5. Step 5: Solve for x
    x = 115,616,320,576/264,820
  6. Step 6: Final answer
    x = 436,584.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.