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Finding the Third Proportional to 421,329 and 909,994.50

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Solution

The third proportional to 421,329 and 909,994.50 is: 1,965,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,329 : 909,994.50 = 909,994.50 : x
  2. Step 2: Convert to fraction form
    421,329/909,994.50 = 909,994.50/x
  3. Step 3: Cross multiply
    421,329x = 909,994.50 × 909,994.50
  4. Step 4: Simplify right side
    421,329x = 828,089,990,030.25
  5. Step 5: Solve for x
    x = 828,089,990,030.25/421,329
  6. Step 6: Final answer
    x = 1,965,423.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.