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Finding the Third Proportional to 343,464 and 505,257.75

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Solution

The third proportional to 343,464 and 505,257.75 is: 743,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464 : 505,257.75 = 505,257.75 : x
  2. Step 2: Convert to fraction form
    343,464/505,257.75 = 505,257.75/x
  3. Step 3: Cross multiply
    343,464x = 505,257.75 × 505,257.75
  4. Step 4: Simplify right side
    343,464x = 255,285,393,935.06
  5. Step 5: Solve for x
    x = 255,285,393,935.06/343,464
  6. Step 6: Final answer
    x = 743,266.82

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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.