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Finding the Third Proportional to 334,609.50 and 509,756

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Solution

The third proportional to 334,609.50 and 509,756 is: 776,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,609.50 : 509,756 = 509,756 : x
  2. Step 2: Convert to fraction form
    334,609.50/509,756 = 509,756/x
  3. Step 3: Cross multiply
    334,609.50x = 509,756 × 509,756
  4. Step 4: Simplify right side
    334,609.50x = 259,851,179,536
  5. Step 5: Solve for x
    x = 259,851,179,536/334,609.50
  6. Step 6: Final answer
    x = 776,580.40

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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.