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Finding the Third Proportional to 189,570 and 414,852

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Solution

The third proportional to 189,570 and 414,852 is: 907,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,570 : 414,852 = 414,852 : x
  2. Step 2: Convert to fraction form
    189,570/414,852 = 414,852/x
  3. Step 3: Cross multiply
    189,570x = 414,852 × 414,852
  4. Step 4: Simplify right side
    189,570x = 172,102,181,904
  5. Step 5: Solve for x
    x = 172,102,181,904/189,570
  6. Step 6: Final answer
    x = 907,855.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.