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Finding the Third Proportional to 214,420.75 and 456,573.50

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Solution

The third proportional to 214,420.75 and 456,573.50 is: 972,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,420.75 : 456,573.50 = 456,573.50 : x
  2. Step 2: Convert to fraction form
    214,420.75/456,573.50 = 456,573.50/x
  3. Step 3: Cross multiply
    214,420.75x = 456,573.50 × 456,573.50
  4. Step 4: Simplify right side
    214,420.75x = 208,459,360,902.25
  5. Step 5: Solve for x
    x = 208,459,360,902.25/214,420.75
  6. Step 6: Final answer
    x = 972,197.70

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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.