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Finding the Third Proportional to 343,958 and 531,497

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Solution

The third proportional to 343,958 and 531,497 is: 821,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,958 : 531,497 = 531,497 : x
  2. Step 2: Convert to fraction form
    343,958/531,497 = 531,497/x
  3. Step 3: Cross multiply
    343,958x = 531,497 × 531,497
  4. Step 4: Simplify right side
    343,958x = 282,489,061,009
  5. Step 5: Solve for x
    x = 282,489,061,009/343,958
  6. Step 6: Final answer
    x = 821,289.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.