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Finding the Third Proportional to 322,602.75 and 451,210.50

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Solution

The third proportional to 322,602.75 and 451,210.50 is: 631,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,602.75 : 451,210.50 = 451,210.50 : x
  2. Step 2: Convert to fraction form
    322,602.75/451,210.50 = 451,210.50/x
  3. Step 3: Cross multiply
    322,602.75x = 451,210.50 × 451,210.50
  4. Step 4: Simplify right side
    322,602.75x = 203,590,915,310.25
  5. Step 5: Solve for x
    x = 203,590,915,310.25/322,602.75
  6. Step 6: Final answer
    x = 631,088.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.