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Finding the Third Proportional to 278,592 and 603,840

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Solution

The third proportional to 278,592 and 603,840 is: 1,308,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,592 : 603,840 = 603,840 : x
  2. Step 2: Convert to fraction form
    278,592/603,840 = 603,840/x
  3. Step 3: Cross multiply
    278,592x = 603,840 × 603,840
  4. Step 4: Simplify right side
    278,592x = 364,622,745,600
  5. Step 5: Solve for x
    x = 364,622,745,600/278,592
  6. Step 6: Final answer
    x = 1,308,805.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.