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Finding the Third Proportional to 368,599.50 and 806,454

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Solution

The third proportional to 368,599.50 and 806,454 is: 1,764,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,599.50 : 806,454 = 806,454 : x
  2. Step 2: Convert to fraction form
    368,599.50/806,454 = 806,454/x
  3. Step 3: Cross multiply
    368,599.50x = 806,454 × 806,454
  4. Step 4: Simplify right side
    368,599.50x = 650,368,054,116
  5. Step 5: Solve for x
    x = 650,368,054,116/368,599.50
  6. Step 6: Final answer
    x = 1,764,430.10

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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.