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Finding the Third Proportional to 275,127 and 410,152

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Solution

The third proportional to 275,127 and 410,152 is: 611,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,127 : 410,152 = 410,152 : x
  2. Step 2: Convert to fraction form
    275,127/410,152 = 410,152/x
  3. Step 3: Cross multiply
    275,127x = 410,152 × 410,152
  4. Step 4: Simplify right side
    275,127x = 168,224,663,104
  5. Step 5: Solve for x
    x = 168,224,663,104/275,127
  6. Step 6: Final answer
    x = 611,443.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.