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Finding the Third Proportional to 189,358 and 410,905

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Solution

The third proportional to 189,358 and 410,905 is: 891,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,358 : 410,905 = 410,905 : x
  2. Step 2: Convert to fraction form
    189,358/410,905 = 410,905/x
  3. Step 3: Cross multiply
    189,358x = 410,905 × 410,905
  4. Step 4: Simplify right side
    189,358x = 168,842,919,025
  5. Step 5: Solve for x
    x = 168,842,919,025/189,358
  6. Step 6: Final answer
    x = 891,659.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.