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Finding the Third Proportional to 273,897 and 434,605.50

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Solution

The third proportional to 273,897 and 434,605.50 is: 689,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,897 : 434,605.50 = 434,605.50 : x
  2. Step 2: Convert to fraction form
    273,897/434,605.50 = 434,605.50/x
  3. Step 3: Cross multiply
    273,897x = 434,605.50 × 434,605.50
  4. Step 4: Simplify right side
    273,897x = 188,881,940,630.25
  5. Step 5: Solve for x
    x = 188,881,940,630.25/273,897
  6. Step 6: Final answer
    x = 689,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.