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Finding the Third Proportional to 243,963 and 380,699.44

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Solution

The third proportional to 243,963 and 380,699.44 is: 594,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,963 : 380,699.44 = 380,699.44 : x
  2. Step 2: Convert to fraction form
    243,963/380,699.44 = 380,699.44/x
  3. Step 3: Cross multiply
    243,963x = 380,699.44 × 380,699.44
  4. Step 4: Simplify right side
    243,963x = 144,932,061,712.82
  5. Step 5: Solve for x
    x = 144,932,061,712.82/243,963
  6. Step 6: Final answer
    x = 594,073.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.