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Finding the Third Proportional to 439,219 and 642,073.50

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Solution

The third proportional to 439,219 and 642,073.50 is: 938,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,219 : 642,073.50 = 642,073.50 : x
  2. Step 2: Convert to fraction form
    439,219/642,073.50 = 642,073.50/x
  3. Step 3: Cross multiply
    439,219x = 642,073.50 × 642,073.50
  4. Step 4: Simplify right side
    439,219x = 412,258,379,402.25
  5. Step 5: Solve for x
    x = 412,258,379,402.25/439,219
  6. Step 6: Final answer
    x = 938,616.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.