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Finding the Third Proportional to 380,064 and 802,848

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Solution

The third proportional to 380,064 and 802,848 is: 1,695,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,064 : 802,848 = 802,848 : x
  2. Step 2: Convert to fraction form
    380,064/802,848 = 802,848/x
  3. Step 3: Cross multiply
    380,064x = 802,848 × 802,848
  4. Step 4: Simplify right side
    380,064x = 644,564,911,104
  5. Step 5: Solve for x
    x = 644,564,911,104/380,064
  6. Step 6: Final answer
    x = 1,695,937.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.