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Finding the Third Proportional to 241,560 and 518,184

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Solution

The third proportional to 241,560 and 518,184 is: 1,111,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,560 : 518,184 = 518,184 : x
  2. Step 2: Convert to fraction form
    241,560/518,184 = 518,184/x
  3. Step 3: Cross multiply
    241,560x = 518,184 × 518,184
  4. Step 4: Simplify right side
    241,560x = 268,514,657,856
  5. Step 5: Solve for x
    x = 268,514,657,856/241,560
  6. Step 6: Final answer
    x = 1,111,585.77

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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.