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Finding the Third Proportional to 434,954 and 958,210

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Solution

The third proportional to 434,954 and 958,210 is: 2,110,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,954 : 958,210 = 958,210 : x
  2. Step 2: Convert to fraction form
    434,954/958,210 = 958,210/x
  3. Step 3: Cross multiply
    434,954x = 958,210 × 958,210
  4. Step 4: Simplify right side
    434,954x = 918,166,404,100
  5. Step 5: Solve for x
    x = 918,166,404,100/434,954
  6. Step 6: Final answer
    x = 2,110,950.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.