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Finding the Third Proportional to 386,558 and 585,184

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Solution

The third proportional to 386,558 and 585,184 is: 885,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,558 : 585,184 = 585,184 : x
  2. Step 2: Convert to fraction form
    386,558/585,184 = 585,184/x
  3. Step 3: Cross multiply
    386,558x = 585,184 × 585,184
  4. Step 4: Simplify right side
    386,558x = 342,440,313,856
  5. Step 5: Solve for x
    x = 342,440,313,856/386,558
  6. Step 6: Final answer
    x = 885,870.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.