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Finding the Third Proportional to 241,409 and 519,633

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Solution

The third proportional to 241,409 and 519,633 is: 1,118,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,409 : 519,633 = 519,633 : x
  2. Step 2: Convert to fraction form
    241,409/519,633 = 519,633/x
  3. Step 3: Cross multiply
    241,409x = 519,633 × 519,633
  4. Step 4: Simplify right side
    241,409x = 270,018,454,689
  5. Step 5: Solve for x
    x = 270,018,454,689/241,409
  6. Step 6: Final answer
    x = 1,118,510.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.