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Finding the Third Proportional to 343,926 and 531,441

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Solution

The third proportional to 343,926 and 531,441 is: 821,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,926 : 531,441 = 531,441 : x
  2. Step 2: Convert to fraction form
    343,926/531,441 = 531,441/x
  3. Step 3: Cross multiply
    343,926x = 531,441 × 531,441
  4. Step 4: Simplify right side
    343,926x = 282,429,536,481
  5. Step 5: Solve for x
    x = 282,429,536,481/343,926
  6. Step 6: Final answer
    x = 821,192.75

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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.