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Finding the Third Proportional to 189,957 and 446,937

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Solution

The third proportional to 189,957 and 446,937 is: 1,051,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,957 : 446,937 = 446,937 : x
  2. Step 2: Convert to fraction form
    189,957/446,937 = 446,937/x
  3. Step 3: Cross multiply
    189,957x = 446,937 × 446,937
  4. Step 4: Simplify right side
    189,957x = 199,752,681,969
  5. Step 5: Solve for x
    x = 199,752,681,969/189,957
  6. Step 6: Final answer
    x = 1,051,567.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.