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Finding the Third Proportional to 294,451 and 467,009

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Solution

The third proportional to 294,451 and 467,009 is: 740,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,451 : 467,009 = 467,009 : x
  2. Step 2: Convert to fraction form
    294,451/467,009 = 467,009/x
  3. Step 3: Cross multiply
    294,451x = 467,009 × 467,009
  4. Step 4: Simplify right side
    294,451x = 218,097,406,081
  5. Step 5: Solve for x
    x = 218,097,406,081/294,451
  6. Step 6: Final answer
    x = 740,691.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.