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Finding the Third Proportional to 354,984.19 and 764,094.94

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Solution

The third proportional to 354,984.19 and 764,094.94 is: 1,644,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,984.19 : 764,094.94 = 764,094.94 : x
  2. Step 2: Convert to fraction form
    354,984.19/764,094.94 = 764,094.94/x
  3. Step 3: Cross multiply
    354,984.19x = 764,094.94 × 764,094.94
  4. Step 4: Simplify right side
    354,984.19x = 583,841,073,513.13
  5. Step 5: Solve for x
    x = 583,841,073,513.13/354,984.19
  6. Step 6: Final answer
    x = 1,644,696.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.