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Finding the Third Proportional to 322,486.50 and 753,056.25

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Solution

The third proportional to 322,486.50 and 753,056.25 is: 1,758,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,486.50 : 753,056.25 = 753,056.25 : x
  2. Step 2: Convert to fraction form
    322,486.50/753,056.25 = 753,056.25/x
  3. Step 3: Cross multiply
    322,486.50x = 753,056.25 × 753,056.25
  4. Step 4: Simplify right side
    322,486.50x = 567,093,715,664.06
  5. Step 5: Solve for x
    x = 567,093,715,664.06/322,486.50
  6. Step 6: Final answer
    x = 1,758,503.74

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.