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Finding the Third Proportional to 241,712 and 518,404

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Solution

The third proportional to 241,712 and 518,404 is: 1,111,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,712 : 518,404 = 518,404 : x
  2. Step 2: Convert to fraction form
    241,712/518,404 = 518,404/x
  3. Step 3: Cross multiply
    241,712x = 518,404 × 518,404
  4. Step 4: Simplify right side
    241,712x = 268,742,707,216
  5. Step 5: Solve for x
    x = 268,742,707,216/241,712
  6. Step 6: Final answer
    x = 1,111,830.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.