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Finding the Third Proportional to 380,705.81 and 846,513.09

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Solution

The third proportional to 380,705.81 and 846,513.09 is: 1,882,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,705.81 : 846,513.09 = 846,513.09 : x
  2. Step 2: Convert to fraction form
    380,705.81/846,513.09 = 846,513.09/x
  3. Step 3: Cross multiply
    380,705.81x = 846,513.09 × 846,513.09
  4. Step 4: Simplify right side
    380,705.81x = 716,584,417,890.20
  5. Step 5: Solve for x
    x = 716,584,417,890.20/380,705.81
  6. Step 6: Final answer
    x = 1,882,252.37

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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.