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Finding the Third Proportional to 380,731.64 and 846,566.44

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Solution

The third proportional to 380,731.64 and 846,566.44 is: 1,882,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,731.64 : 846,566.44 = 846,566.44 : x
  2. Step 2: Convert to fraction form
    380,731.64/846,566.44 = 846,566.44/x
  3. Step 3: Cross multiply
    380,731.64x = 846,566.44 × 846,566.44
  4. Step 4: Simplify right side
    380,731.64x = 716,674,733,101.44
  5. Step 5: Solve for x
    x = 716,674,733,101.44/380,731.64
  6. Step 6: Final answer
    x = 1,882,361.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.