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Finding the Third Proportional to 595,224 and 898,203

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Solution

The third proportional to 595,224 and 898,203 is: 1,355,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,224 : 898,203 = 898,203 : x
  2. Step 2: Convert to fraction form
    595,224/898,203 = 898,203/x
  3. Step 3: Cross multiply
    595,224x = 898,203 × 898,203
  4. Step 4: Simplify right side
    595,224x = 806,768,629,209
  5. Step 5: Solve for x
    x = 806,768,629,209/595,224
  6. Step 6: Final answer
    x = 1,355,403.39

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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.