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Finding the Third Proportional to 298,458.88 and 462,821.75

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Solution

The third proportional to 298,458.88 and 462,821.75 is: 717,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,458.88 : 462,821.75 = 462,821.75 : x
  2. Step 2: Convert to fraction form
    298,458.88/462,821.75 = 462,821.75/x
  3. Step 3: Cross multiply
    298,458.88x = 462,821.75 × 462,821.75
  4. Step 4: Simplify right side
    298,458.88x = 214,203,972,273.06
  5. Step 5: Solve for x
    x = 214,203,972,273.06/298,458.88
  6. Step 6: Final answer
    x = 717,700.13

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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.