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Finding the Third Proportional to 189,654 and 407,429

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Solution

The third proportional to 189,654 and 407,429 is: 875,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,654 : 407,429 = 407,429 : x
  2. Step 2: Convert to fraction form
    189,654/407,429 = 407,429/x
  3. Step 3: Cross multiply
    189,654x = 407,429 × 407,429
  4. Step 4: Simplify right side
    189,654x = 165,998,390,041
  5. Step 5: Solve for x
    x = 165,998,390,041/189,654
  6. Step 6: Final answer
    x = 875,269.65

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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.