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Finding the Third Proportional to 199,440 and 434,592

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Solution

The third proportional to 199,440 and 434,592 is: 947,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,440 : 434,592 = 434,592 : x
  2. Step 2: Convert to fraction form
    199,440/434,592 = 434,592/x
  3. Step 3: Cross multiply
    199,440x = 434,592 × 434,592
  4. Step 4: Simplify right side
    199,440x = 188,870,206,464
  5. Step 5: Solve for x
    x = 188,870,206,464/199,440
  6. Step 6: Final answer
    x = 947,002.64

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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.