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Finding the Third Proportional to 343,968 and 521,146

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Solution

The third proportional to 343,968 and 521,146 is: 789,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,968 : 521,146 = 521,146 : x
  2. Step 2: Convert to fraction form
    343,968/521,146 = 521,146/x
  3. Step 3: Cross multiply
    343,968x = 521,146 × 521,146
  4. Step 4: Simplify right side
    343,968x = 271,593,153,316
  5. Step 5: Solve for x
    x = 271,593,153,316/343,968
  6. Step 6: Final answer
    x = 789,588.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.