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Finding the Third Proportional to 189,623 and 437,877

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Solution

The third proportional to 189,623 and 437,877 is: 1,011,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,623 : 437,877 = 437,877 : x
  2. Step 2: Convert to fraction form
    189,623/437,877 = 437,877/x
  3. Step 3: Cross multiply
    189,623x = 437,877 × 437,877
  4. Step 4: Simplify right side
    189,623x = 191,736,267,129
  5. Step 5: Solve for x
    x = 191,736,267,129/189,623
  6. Step 6: Final answer
    x = 1,011,144.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.