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Finding the Third Proportional to 380,184.47 and 588,476.81

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Solution

The third proportional to 380,184.47 and 588,476.81 is: 910,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,184.47 : 588,476.81 = 588,476.81 : x
  2. Step 2: Convert to fraction form
    380,184.47/588,476.81 = 588,476.81/x
  3. Step 3: Cross multiply
    380,184.47x = 588,476.81 × 588,476.81
  4. Step 4: Simplify right side
    380,184.47x = 346,304,958,850.16
  5. Step 5: Solve for x
    x = 346,304,958,850.16/380,184.47
  6. Step 6: Final answer
    x = 910,886.65

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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.