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Finding the Third Proportional to 430,836.75 and 920,317.50

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Solution

The third proportional to 430,836.75 and 920,317.50 is: 1,965,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,836.75 : 920,317.50 = 920,317.50 : x
  2. Step 2: Convert to fraction form
    430,836.75/920,317.50 = 920,317.50/x
  3. Step 3: Cross multiply
    430,836.75x = 920,317.50 × 920,317.50
  4. Step 4: Simplify right side
    430,836.75x = 846,984,300,806.25
  5. Step 5: Solve for x
    x = 846,984,300,806.25/430,836.75
  6. Step 6: Final answer
    x = 1,965,905.42

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Why These Related Problems?

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