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Finding the Third Proportional to 296,586 and 614,211

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Solution

The third proportional to 296,586 and 614,211 is: 1,271,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,586 : 614,211 = 614,211 : x
  2. Step 2: Convert to fraction form
    296,586/614,211 = 614,211/x
  3. Step 3: Cross multiply
    296,586x = 614,211 × 614,211
  4. Step 4: Simplify right side
    296,586x = 377,255,152,521
  5. Step 5: Solve for x
    x = 377,255,152,521/296,586
  6. Step 6: Final answer
    x = 1,271,992.45

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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.