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Finding the Third Proportional to 343,458 and 505,255

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Solution

The third proportional to 343,458 and 505,255 is: 743,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,458 : 505,255 = 505,255 : x
  2. Step 2: Convert to fraction form
    343,458/505,255 = 505,255/x
  3. Step 3: Cross multiply
    343,458x = 505,255 × 505,255
  4. Step 4: Simplify right side
    343,458x = 255,282,615,025
  5. Step 5: Solve for x
    x = 255,282,615,025/343,458
  6. Step 6: Final answer
    x = 743,271.71

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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.