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Finding the Third Proportional to 350,294 and 541,842

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Solution

The third proportional to 350,294 and 541,842 is: 838,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,294 : 541,842 = 541,842 : x
  2. Step 2: Convert to fraction form
    350,294/541,842 = 541,842/x
  3. Step 3: Cross multiply
    350,294x = 541,842 × 541,842
  4. Step 4: Simplify right side
    350,294x = 293,592,752,964
  5. Step 5: Solve for x
    x = 293,592,752,964/350,294
  6. Step 6: Final answer
    x = 838,132.41

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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.