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Finding the Third Proportional to 188,955 and 414,769

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Solution

The third proportional to 188,955 and 414,769 is: 910,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,955 : 414,769 = 414,769 : x
  2. Step 2: Convert to fraction form
    188,955/414,769 = 414,769/x
  3. Step 3: Cross multiply
    188,955x = 414,769 × 414,769
  4. Step 4: Simplify right side
    188,955x = 172,033,323,361
  5. Step 5: Solve for x
    x = 172,033,323,361/188,955
  6. Step 6: Final answer
    x = 910,446.00

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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.