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Finding the Third Proportional to 298,444 and 462,796

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Solution

The third proportional to 298,444 and 462,796 is: 717,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,444 : 462,796 = 462,796 : x
  2. Step 2: Convert to fraction form
    298,444/462,796 = 462,796/x
  3. Step 3: Cross multiply
    298,444x = 462,796 × 462,796
  4. Step 4: Simplify right side
    298,444x = 214,180,137,616
  5. Step 5: Solve for x
    x = 214,180,137,616/298,444
  6. Step 6: Final answer
    x = 717,656.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.