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Finding the Third Proportional to 295,583 and 612,187

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Solution

The third proportional to 295,583 and 612,187 is: 1,267,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,583 : 612,187 = 612,187 : x
  2. Step 2: Convert to fraction form
    295,583/612,187 = 612,187/x
  3. Step 3: Cross multiply
    295,583x = 612,187 × 612,187
  4. Step 4: Simplify right side
    295,583x = 374,772,922,969
  5. Step 5: Solve for x
    x = 374,772,922,969/295,583
  6. Step 6: Final answer
    x = 1,267,910.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.