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Finding the Third Proportional to 380,184.94 and 588,477.38

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Solution

The third proportional to 380,184.94 and 588,477.38 is: 910,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,184.94 : 588,477.38 = 588,477.38 : x
  2. Step 2: Convert to fraction form
    380,184.94/588,477.38 = 588,477.38/x
  3. Step 3: Cross multiply
    380,184.94x = 588,477.38 × 588,477.38
  4. Step 4: Simplify right side
    380,184.94x = 346,305,620,886.89
  5. Step 5: Solve for x
    x = 346,305,620,886.89/380,184.94
  6. Step 6: Final answer
    x = 910,887.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.