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Finding the Third Proportional to 214,258.50 and 470,548.50

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Solution

The third proportional to 214,258.50 and 470,548.50 is: 1,033,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,258.50 : 470,548.50 = 470,548.50 : x
  2. Step 2: Convert to fraction form
    214,258.50/470,548.50 = 470,548.50/x
  3. Step 3: Cross multiply
    214,258.50x = 470,548.50 × 470,548.50
  4. Step 4: Simplify right side
    214,258.50x = 221,415,890,852.25
  5. Step 5: Solve for x
    x = 221,415,890,852.25/214,258.50
  6. Step 6: Final answer
    x = 1,033,405.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.