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Finding the Third Proportional to 298,500 and 614,520

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Solution

The third proportional to 298,500 and 614,520 is: 1,265,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,500 : 614,520 = 614,520 : x
  2. Step 2: Convert to fraction form
    298,500/614,520 = 614,520/x
  3. Step 3: Cross multiply
    298,500x = 614,520 × 614,520
  4. Step 4: Simplify right side
    298,500x = 377,634,830,400
  5. Step 5: Solve for x
    x = 377,634,830,400/298,500
  6. Step 6: Final answer
    x = 1,265,108.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.