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Finding the Third Proportional to 368,169 and 806,605.50

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Solution

The third proportional to 368,169 and 806,605.50 is: 1,767,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,169 : 806,605.50 = 806,605.50 : x
  2. Step 2: Convert to fraction form
    368,169/806,605.50 = 806,605.50/x
  3. Step 3: Cross multiply
    368,169x = 806,605.50 × 806,605.50
  4. Step 4: Simplify right side
    368,169x = 650,612,432,630.25
  5. Step 5: Solve for x
    x = 650,612,432,630.25/368,169
  6. Step 6: Final answer
    x = 1,767,157.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.