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Finding the Third Proportional to 343,934 and 531,237

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Solution

The third proportional to 343,934 and 531,237 is: 820,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,934 : 531,237 = 531,237 : x
  2. Step 2: Convert to fraction form
    343,934/531,237 = 531,237/x
  3. Step 3: Cross multiply
    343,934x = 531,237 × 531,237
  4. Step 4: Simplify right side
    343,934x = 282,212,750,169
  5. Step 5: Solve for x
    x = 282,212,750,169/343,934
  6. Step 6: Final answer
    x = 820,543.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.