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Finding the Third Proportional to 492,114 and 646,182

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Solution

The third proportional to 492,114 and 646,182 is: 848,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,114 : 646,182 = 646,182 : x
  2. Step 2: Convert to fraction form
    492,114/646,182 = 646,182/x
  3. Step 3: Cross multiply
    492,114x = 646,182 × 646,182
  4. Step 4: Simplify right side
    492,114x = 417,551,177,124
  5. Step 5: Solve for x
    x = 417,551,177,124/492,114
  6. Step 6: Final answer
    x = 848,484.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.