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Finding the Third Proportional to 214,419.75 and 456,571.50

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Solution

The third proportional to 214,419.75 and 456,571.50 is: 972,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,419.75 : 456,571.50 = 456,571.50 : x
  2. Step 2: Convert to fraction form
    214,419.75/456,571.50 = 456,571.50/x
  3. Step 3: Cross multiply
    214,419.75x = 456,571.50 × 456,571.50
  4. Step 4: Simplify right side
    214,419.75x = 208,457,534,612.25
  5. Step 5: Solve for x
    x = 208,457,534,612.25/214,419.75
  6. Step 6: Final answer
    x = 972,193.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.