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Finding the Third Proportional to 595,244 and 898,233

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Solution

The third proportional to 595,244 and 898,233 is: 1,355,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,244 : 898,233 = 898,233 : x
  2. Step 2: Convert to fraction form
    595,244/898,233 = 898,233/x
  3. Step 3: Cross multiply
    595,244x = 898,233 × 898,233
  4. Step 4: Simplify right side
    595,244x = 806,822,522,289
  5. Step 5: Solve for x
    x = 806,822,522,289/595,244
  6. Step 6: Final answer
    x = 1,355,448.39

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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.