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Finding the Third Proportional to 418,899.25 and 894,984.25

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Solution

The third proportional to 418,899.25 and 894,984.25 is: 1,912,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,899.25 : 894,984.25 = 894,984.25 : x
  2. Step 2: Convert to fraction form
    418,899.25/894,984.25 = 894,984.25/x
  3. Step 3: Cross multiply
    418,899.25x = 894,984.25 × 894,984.25
  4. Step 4: Simplify right side
    418,899.25x = 800,996,807,748.06
  5. Step 5: Solve for x
    x = 800,996,807,748.06/418,899.25
  6. Step 6: Final answer
    x = 1,912,146.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.