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Finding the Third Proportional to 345,840 and 518,760

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Solution

The third proportional to 345,840 and 518,760 is: 778,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,840 : 518,760 = 518,760 : x
  2. Step 2: Convert to fraction form
    345,840/518,760 = 518,760/x
  3. Step 3: Cross multiply
    345,840x = 518,760 × 518,760
  4. Step 4: Simplify right side
    345,840x = 269,111,937,600
  5. Step 5: Solve for x
    x = 269,111,937,600/345,840
  6. Step 6: Final answer
    x = 778,140

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.