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Finding the Third Proportional to 380,190 and 588,486

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Solution

The third proportional to 380,190 and 588,486 is: 910,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,190 : 588,486 = 588,486 : x
  2. Step 2: Convert to fraction form
    380,190/588,486 = 588,486/x
  3. Step 3: Cross multiply
    380,190x = 588,486 × 588,486
  4. Step 4: Simplify right side
    380,190x = 346,315,772,196
  5. Step 5: Solve for x
    x = 346,315,772,196/380,190
  6. Step 6: Final answer
    x = 910,901.84

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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.