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Finding the Third Proportional to 334,611 and 538,645.50

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Solution

The third proportional to 334,611 and 538,645.50 is: 867,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,611 : 538,645.50 = 538,645.50 : x
  2. Step 2: Convert to fraction form
    334,611/538,645.50 = 538,645.50/x
  3. Step 3: Cross multiply
    334,611x = 538,645.50 × 538,645.50
  4. Step 4: Simplify right side
    334,611x = 290,138,974,670.25
  5. Step 5: Solve for x
    x = 290,138,974,670.25/334,611
  6. Step 6: Final answer
    x = 867,093.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.