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Finding the Third Proportional to 188,958 and 414,776

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Solution

The third proportional to 188,958 and 414,776 is: 910,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,958 : 414,776 = 414,776 : x
  2. Step 2: Convert to fraction form
    188,958/414,776 = 414,776/x
  3. Step 3: Cross multiply
    188,958x = 414,776 × 414,776
  4. Step 4: Simplify right side
    188,958x = 172,039,130,176
  5. Step 5: Solve for x
    x = 172,039,130,176/188,958
  6. Step 6: Final answer
    x = 910,462.27

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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.