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Finding the Third Proportional to 383,435.44 and 830,336.06

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Solution

The third proportional to 383,435.44 and 830,336.06 is: 1,798,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,435.44 : 830,336.06 = 830,336.06 : x
  2. Step 2: Convert to fraction form
    383,435.44/830,336.06 = 830,336.06/x
  3. Step 3: Cross multiply
    383,435.44x = 830,336.06 × 830,336.06
  4. Step 4: Simplify right side
    383,435.44x = 689,457,976,688.00
  5. Step 5: Solve for x
    x = 689,457,976,688.00/383,435.44
  6. Step 6: Final answer
    x = 1,798,107.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.