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Finding the Third Proportional to 241,707.75 and 518,389.50

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Solution

The third proportional to 241,707.75 and 518,389.50 is: 1,111,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,707.75 : 518,389.50 = 518,389.50 : x
  2. Step 2: Convert to fraction form
    241,707.75/518,389.50 = 518,389.50/x
  3. Step 3: Cross multiply
    241,707.75x = 518,389.50 × 518,389.50
  4. Step 4: Simplify right side
    241,707.75x = 268,727,673,710.25
  5. Step 5: Solve for x
    x = 268,727,673,710.25/241,707.75
  6. Step 6: Final answer
    x = 1,111,787.58

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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.