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Finding the Third Proportional to 241,774 and 425,024

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Solution

The third proportional to 241,774 and 425,024 is: 747,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,774 : 425,024 = 425,024 : x
  2. Step 2: Convert to fraction form
    241,774/425,024 = 425,024/x
  3. Step 3: Cross multiply
    241,774x = 425,024 × 425,024
  4. Step 4: Simplify right side
    241,774x = 180,645,400,576
  5. Step 5: Solve for x
    x = 180,645,400,576/241,774
  6. Step 6: Final answer
    x = 747,166.36

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.