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Finding the Third Proportional to 430,836 and 920,314.50

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Solution

The third proportional to 430,836 and 920,314.50 is: 1,965,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,836 : 920,314.50 = 920,314.50 : x
  2. Step 2: Convert to fraction form
    430,836/920,314.50 = 920,314.50/x
  3. Step 3: Cross multiply
    430,836x = 920,314.50 × 920,314.50
  4. Step 4: Simplify right side
    430,836x = 846,978,778,910.25
  5. Step 5: Solve for x
    x = 846,978,778,910.25/430,836
  6. Step 6: Final answer
    x = 1,965,896.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.