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Finding the Third Proportional to 228,501 and 471,501

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Solution

The third proportional to 228,501 and 471,501 is: 972,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,501 : 471,501 = 471,501 : x
  2. Step 2: Convert to fraction form
    228,501/471,501 = 471,501/x
  3. Step 3: Cross multiply
    228,501x = 471,501 × 471,501
  4. Step 4: Simplify right side
    228,501x = 222,313,193,001
  5. Step 5: Solve for x
    x = 222,313,193,001/228,501
  6. Step 6: Final answer
    x = 972,920.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.