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Finding the Third Proportional to 298,518 and 462,033

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Solution

The third proportional to 298,518 and 462,033 is: 715,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,518 : 462,033 = 462,033 : x
  2. Step 2: Convert to fraction form
    298,518/462,033 = 462,033/x
  3. Step 3: Cross multiply
    298,518x = 462,033 × 462,033
  4. Step 4: Simplify right side
    298,518x = 213,474,493,089
  5. Step 5: Solve for x
    x = 213,474,493,089/298,518
  6. Step 6: Final answer
    x = 715,114.31

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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.