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Finding the Third Proportional to 214,080.75 and 470,533.50

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Solution

The third proportional to 214,080.75 and 470,533.50 is: 1,034,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,080.75 : 470,533.50 = 470,533.50 : x
  2. Step 2: Convert to fraction form
    214,080.75/470,533.50 = 470,533.50/x
  3. Step 3: Cross multiply
    214,080.75x = 470,533.50 × 470,533.50
  4. Step 4: Simplify right side
    214,080.75x = 221,401,774,622.25
  5. Step 5: Solve for x
    x = 221,401,774,622.25/214,080.75
  6. Step 6: Final answer
    x = 1,034,197.49

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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.