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Finding the Third Proportional to 413,392 and 620,083.50

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Solution

The third proportional to 413,392 and 620,083.50 is: 930,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,392 : 620,083.50 = 620,083.50 : x
  2. Step 2: Convert to fraction form
    413,392/620,083.50 = 620,083.50/x
  3. Step 3: Cross multiply
    413,392x = 620,083.50 × 620,083.50
  4. Step 4: Simplify right side
    413,392x = 384,503,546,972.25
  5. Step 5: Solve for x
    x = 384,503,546,972.25/413,392
  6. Step 6: Final answer
    x = 930,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.