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Finding the Third Proportional to 311,106 and 482,627

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Solution

The third proportional to 311,106 and 482,627 is: 748,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,106 : 482,627 = 482,627 : x
  2. Step 2: Convert to fraction form
    311,106/482,627 = 482,627/x
  3. Step 3: Cross multiply
    311,106x = 482,627 × 482,627
  4. Step 4: Simplify right side
    311,106x = 232,928,821,129
  5. Step 5: Solve for x
    x = 232,928,821,129/311,106
  6. Step 6: Final answer
    x = 748,712.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.