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Finding the Third Proportional to 240,381 and 518,842.50

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Solution

The third proportional to 240,381 and 518,842.50 is: 1,119,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,381 : 518,842.50 = 518,842.50 : x
  2. Step 2: Convert to fraction form
    240,381/518,842.50 = 518,842.50/x
  3. Step 3: Cross multiply
    240,381x = 518,842.50 × 518,842.50
  4. Step 4: Simplify right side
    240,381x = 269,197,539,806.25
  5. Step 5: Solve for x
    x = 269,197,539,806.25/240,381
  6. Step 6: Final answer
    x = 1,119,878.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.