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Finding the Third Proportional to 189,470 and 400,684

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Solution

The third proportional to 189,470 and 400,684 is: 847,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,470 : 400,684 = 400,684 : x
  2. Step 2: Convert to fraction form
    189,470/400,684 = 400,684/x
  3. Step 3: Cross multiply
    189,470x = 400,684 × 400,684
  4. Step 4: Simplify right side
    189,470x = 160,547,667,856
  5. Step 5: Solve for x
    x = 160,547,667,856/189,470
  6. Step 6: Final answer
    x = 847,351.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.