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Finding the Third Proportional to 579,208 and 896,838

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Solution

The third proportional to 579,208 and 896,838 is: 1,388,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,208 : 896,838 = 896,838 : x
  2. Step 2: Convert to fraction form
    579,208/896,838 = 896,838/x
  3. Step 3: Cross multiply
    579,208x = 896,838 × 896,838
  4. Step 4: Simplify right side
    579,208x = 804,318,398,244
  5. Step 5: Solve for x
    x = 804,318,398,244/579,208
  6. Step 6: Final answer
    x = 1,388,652.09

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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.