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Finding the Third Proportional to 343,928 and 531,444

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Solution

The third proportional to 343,928 and 531,444 is: 821,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,928 : 531,444 = 531,444 : x
  2. Step 2: Convert to fraction form
    343,928/531,444 = 531,444/x
  3. Step 3: Cross multiply
    343,928x = 531,444 × 531,444
  4. Step 4: Simplify right side
    343,928x = 282,432,725,136
  5. Step 5: Solve for x
    x = 282,432,725,136/343,928
  6. Step 6: Final answer
    x = 821,197.24

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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.