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Finding the Third Proportional to 214,080.47 and 470,534.06

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Solution

The third proportional to 214,080.47 and 470,534.06 is: 1,034,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,080.47 : 470,534.06 = 470,534.06 : x
  2. Step 2: Convert to fraction form
    214,080.47/470,534.06 = 470,534.06/x
  3. Step 3: Cross multiply
    214,080.47x = 470,534.06 × 470,534.06
  4. Step 4: Simplify right side
    214,080.47x = 221,402,303,972.75
  5. Step 5: Solve for x
    x = 221,402,303,972.75/214,080.47
  6. Step 6: Final answer
    x = 1,034,201.32

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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.