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Finding the Third Proportional to 485,376 and 734,848

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Solution

The third proportional to 485,376 and 734,848 is: 1,112,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,376 : 734,848 = 734,848 : x
  2. Step 2: Convert to fraction form
    485,376/734,848 = 734,848/x
  3. Step 3: Cross multiply
    485,376x = 734,848 × 734,848
  4. Step 4: Simplify right side
    485,376x = 540,001,583,104
  5. Step 5: Solve for x
    x = 540,001,583,104/485,376
  6. Step 6: Final answer
    x = 1,112,542.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.