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Finding the Third Proportional to 294,448 and 467,000

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Solution

The third proportional to 294,448 and 467,000 is: 740,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,448 : 467,000 = 467,000 : x
  2. Step 2: Convert to fraction form
    294,448/467,000 = 467,000/x
  3. Step 3: Cross multiply
    294,448x = 467,000 × 467,000
  4. Step 4: Simplify right side
    294,448x = 218,089,000,000
  5. Step 5: Solve for x
    x = 218,089,000,000/294,448
  6. Step 6: Final answer
    x = 740,670.68

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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.