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Finding the Third Proportional to 199,838 and 434,920

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Solution

The third proportional to 199,838 and 434,920 is: 946,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,838 : 434,920 = 434,920 : x
  2. Step 2: Convert to fraction form
    199,838/434,920 = 434,920/x
  3. Step 3: Cross multiply
    199,838x = 434,920 × 434,920
  4. Step 4: Simplify right side
    199,838x = 189,155,406,400
  5. Step 5: Solve for x
    x = 189,155,406,400/199,838
  6. Step 6: Final answer
    x = 946,543.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.