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Finding the Third Proportional to 312,066 and 671,533

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Solution

The third proportional to 312,066 and 671,533 is: 1,445,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,066 : 671,533 = 671,533 : x
  2. Step 2: Convert to fraction form
    312,066/671,533 = 671,533/x
  3. Step 3: Cross multiply
    312,066x = 671,533 × 671,533
  4. Step 4: Simplify right side
    312,066x = 450,956,570,089
  5. Step 5: Solve for x
    x = 450,956,570,089/312,066
  6. Step 6: Final answer
    x = 1,445,067.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.