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Finding the Third Proportional to 334,652 and 509,818

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Solution

The third proportional to 334,652 and 509,818 is: 776,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,652 : 509,818 = 509,818 : x
  2. Step 2: Convert to fraction form
    334,652/509,818 = 509,818/x
  3. Step 3: Cross multiply
    334,652x = 509,818 × 509,818
  4. Step 4: Simplify right side
    334,652x = 259,914,393,124
  5. Step 5: Solve for x
    x = 259,914,393,124/334,652
  6. Step 6: Final answer
    x = 776,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.