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Finding the Third Proportional to 371,330 and 541,347

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Solution

The third proportional to 371,330 and 541,347 is: 789,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,330 : 541,347 = 541,347 : x
  2. Step 2: Convert to fraction form
    371,330/541,347 = 541,347/x
  3. Step 3: Cross multiply
    371,330x = 541,347 × 541,347
  4. Step 4: Simplify right side
    371,330x = 293,056,574,409
  5. Step 5: Solve for x
    x = 293,056,574,409/371,330
  6. Step 6: Final answer
    x = 789,207.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.