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Finding the Third Proportional to 434,950 and 958,202

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Solution

The third proportional to 434,950 and 958,202 is: 2,110,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,950 : 958,202 = 958,202 : x
  2. Step 2: Convert to fraction form
    434,950/958,202 = 958,202/x
  3. Step 3: Cross multiply
    434,950x = 958,202 × 958,202
  4. Step 4: Simplify right side
    434,950x = 918,151,072,804
  5. Step 5: Solve for x
    x = 918,151,072,804/434,950
  6. Step 6: Final answer
    x = 2,110,934.76

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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.