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Finding the Third Proportional to 298,648 and 462,417

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Solution

The third proportional to 298,648 and 462,417 is: 715,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,648 : 462,417 = 462,417 : x
  2. Step 2: Convert to fraction form
    298,648/462,417 = 462,417/x
  3. Step 3: Cross multiply
    298,648x = 462,417 × 462,417
  4. Step 4: Simplify right side
    298,648x = 213,829,481,889
  5. Step 5: Solve for x
    x = 213,829,481,889/298,648
  6. Step 6: Final answer
    x = 715,991.68

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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.