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Finding the Third Proportional to 212,422.50 and 459,697.50

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Solution

The third proportional to 212,422.50 and 459,697.50 is: 994,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,422.50 : 459,697.50 = 459,697.50 : x
  2. Step 2: Convert to fraction form
    212,422.50/459,697.50 = 459,697.50/x
  3. Step 3: Cross multiply
    212,422.50x = 459,697.50 × 459,697.50
  4. Step 4: Simplify right side
    212,422.50x = 211,321,791,506.25
  5. Step 5: Solve for x
    x = 211,321,791,506.25/212,422.50
  6. Step 6: Final answer
    x = 994,818.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.