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Finding the Third Proportional to 286,912 and 586,492

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Solution

The third proportional to 286,912 and 586,492 is: 1,198,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,912 : 586,492 = 586,492 : x
  2. Step 2: Convert to fraction form
    286,912/586,492 = 586,492/x
  3. Step 3: Cross multiply
    286,912x = 586,492 × 586,492
  4. Step 4: Simplify right side
    286,912x = 343,972,866,064
  5. Step 5: Solve for x
    x = 343,972,866,064/286,912
  6. Step 6: Final answer
    x = 1,198,879.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.