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Finding the Third Proportional to 356,825.50 and 521,841

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Solution

The third proportional to 356,825.50 and 521,841 is: 763,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,825.50 : 521,841 = 521,841 : x
  2. Step 2: Convert to fraction form
    356,825.50/521,841 = 521,841/x
  3. Step 3: Cross multiply
    356,825.50x = 521,841 × 521,841
  4. Step 4: Simplify right side
    356,825.50x = 272,318,029,281
  5. Step 5: Solve for x
    x = 272,318,029,281/356,825.50
  6. Step 6: Final answer
    x = 763,168.63

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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.