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Finding the Third Proportional to 214,210.50 and 470,458.50

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Solution

The third proportional to 214,210.50 and 470,458.50 is: 1,033,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,210.50 : 470,458.50 = 470,458.50 : x
  2. Step 2: Convert to fraction form
    214,210.50/470,458.50 = 470,458.50/x
  3. Step 3: Cross multiply
    214,210.50x = 470,458.50 × 470,458.50
  4. Step 4: Simplify right side
    214,210.50x = 221,331,200,222.25
  5. Step 5: Solve for x
    x = 221,331,200,222.25/214,210.50
  6. Step 6: Final answer
    x = 1,033,241.60

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Why These Related Problems?

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