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Finding the Third Proportional to 295,608 and 612,228

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Solution

The third proportional to 295,608 and 612,228 is: 1,267,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,608 : 612,228 = 612,228 : x
  2. Step 2: Convert to fraction form
    295,608/612,228 = 612,228/x
  3. Step 3: Cross multiply
    295,608x = 612,228 × 612,228
  4. Step 4: Simplify right side
    295,608x = 374,823,123,984
  5. Step 5: Solve for x
    x = 374,823,123,984/295,608
  6. Step 6: Final answer
    x = 1,267,973.55

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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.