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Finding the Third Proportional to 371,338 and 541,359

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Solution

The third proportional to 371,338 and 541,359 is: 789,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,338 : 541,359 = 541,359 : x
  2. Step 2: Convert to fraction form
    371,338/541,359 = 541,359/x
  3. Step 3: Cross multiply
    371,338x = 541,359 × 541,359
  4. Step 4: Simplify right side
    371,338x = 293,069,566,881
  5. Step 5: Solve for x
    x = 293,069,566,881/371,338
  6. Step 6: Final answer
    x = 789,225.90

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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.