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Finding the Third Proportional to 314,982 and 691,204.50

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Solution

The third proportional to 314,982 and 691,204.50 is: 1,516,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,982 : 691,204.50 = 691,204.50 : x
  2. Step 2: Convert to fraction form
    314,982/691,204.50 = 691,204.50/x
  3. Step 3: Cross multiply
    314,982x = 691,204.50 × 691,204.50
  4. Step 4: Simplify right side
    314,982x = 477,763,660,820.25
  5. Step 5: Solve for x
    x = 477,763,660,820.25/314,982
  6. Step 6: Final answer
    x = 1,516,796.71

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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.