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Finding the Third Proportional to 270,251 and 592,390

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Solution

The third proportional to 270,251 and 592,390 is: 1,298,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,251 : 592,390 = 592,390 : x
  2. Step 2: Convert to fraction form
    270,251/592,390 = 592,390/x
  3. Step 3: Cross multiply
    270,251x = 592,390 × 592,390
  4. Step 4: Simplify right side
    270,251x = 350,925,912,100
  5. Step 5: Solve for x
    x = 350,925,912,100/270,251
  6. Step 6: Final answer
    x = 1,298,518.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.