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Finding the Third Proportional to 207,330 and 436,795.50

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Solution

The third proportional to 207,330 and 436,795.50 is: 920,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,330 : 436,795.50 = 436,795.50 : x
  2. Step 2: Convert to fraction form
    207,330/436,795.50 = 436,795.50/x
  3. Step 3: Cross multiply
    207,330x = 436,795.50 × 436,795.50
  4. Step 4: Simplify right side
    207,330x = 190,790,308,820.25
  5. Step 5: Solve for x
    x = 190,790,308,820.25/207,330
  6. Step 6: Final answer
    x = 920,225.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.