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Finding the Third Proportional to 200,290 and 434,816

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Solution

The third proportional to 200,290 and 434,816 is: 943,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290 : 434,816 = 434,816 : x
  2. Step 2: Convert to fraction form
    200,290/434,816 = 434,816/x
  3. Step 3: Cross multiply
    200,290x = 434,816 × 434,816
  4. Step 4: Simplify right side
    200,290x = 189,064,953,856
  5. Step 5: Solve for x
    x = 189,064,953,856/200,290
  6. Step 6: Final answer
    x = 943,956.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.