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Finding the Third Proportional to 343,544 and 505,042

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Solution

The third proportional to 343,544 and 505,042 is: 742,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,544 : 505,042 = 505,042 : x
  2. Step 2: Convert to fraction form
    343,544/505,042 = 505,042/x
  3. Step 3: Cross multiply
    343,544x = 505,042 × 505,042
  4. Step 4: Simplify right side
    343,544x = 255,067,421,764
  5. Step 5: Solve for x
    x = 255,067,421,764/343,544
  6. Step 6: Final answer
    x = 742,459.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.