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Finding the Third Proportional to 380,186 and 588,480

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Solution

The third proportional to 380,186 and 588,480 is: 910,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,186 : 588,480 = 588,480 : x
  2. Step 2: Convert to fraction form
    380,186/588,480 = 588,480/x
  3. Step 3: Cross multiply
    380,186x = 588,480 × 588,480
  4. Step 4: Simplify right side
    380,186x = 346,308,710,400
  5. Step 5: Solve for x
    x = 346,308,710,400/380,186
  6. Step 6: Final answer
    x = 910,892.85

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Why These Related Problems?

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