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Finding the Third Proportional to 296,580.23 and 614,198.95

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Solution

The third proportional to 296,580.23 and 614,198.95 is: 1,271,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,580.23 : 614,198.95 = 614,198.95 : x
  2. Step 2: Convert to fraction form
    296,580.23/614,198.95 = 614,198.95/x
  3. Step 3: Cross multiply
    296,580.23x = 614,198.95 × 614,198.95
  4. Step 4: Simplify right side
    296,580.23x = 377,240,354,019.85
  5. Step 5: Solve for x
    x = 377,240,354,019.85/296,580.23
  6. Step 6: Final answer
    x = 1,271,967.28

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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.