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Finding the Third Proportional to 212,464.50 and 456,505.50

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Solution

The third proportional to 212,464.50 and 456,505.50 is: 980,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,464.50 : 456,505.50 = 456,505.50 : x
  2. Step 2: Convert to fraction form
    212,464.50/456,505.50 = 456,505.50/x
  3. Step 3: Cross multiply
    212,464.50x = 456,505.50 × 456,505.50
  4. Step 4: Simplify right side
    212,464.50x = 208,397,271,530.25
  5. Step 5: Solve for x
    x = 208,397,271,530.25/212,464.50
  6. Step 6: Final answer
    x = 980,856.90

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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.