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Finding the Third Proportional to 206,073 and 439,363

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Solution

The third proportional to 206,073 and 439,363 is: 936,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,073 : 439,363 = 439,363 : x
  2. Step 2: Convert to fraction form
    206,073/439,363 = 439,363/x
  3. Step 3: Cross multiply
    206,073x = 439,363 × 439,363
  4. Step 4: Simplify right side
    206,073x = 193,039,845,769
  5. Step 5: Solve for x
    x = 193,039,845,769/206,073
  6. Step 6: Final answer
    x = 936,754.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.