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Finding the Third Proportional to 243,137 and 505,602

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Solution

The third proportional to 243,137 and 505,602 is: 1,051,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,137 : 505,602 = 505,602 : x
  2. Step 2: Convert to fraction form
    243,137/505,602 = 505,602/x
  3. Step 3: Cross multiply
    243,137x = 505,602 × 505,602
  4. Step 4: Simplify right side
    243,137x = 255,633,382,404
  5. Step 5: Solve for x
    x = 255,633,382,404/243,137
  6. Step 6: Final answer
    x = 1,051,396.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.