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Finding the Third Proportional to 334,656 and 509,824

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Solution

The third proportional to 334,656 and 509,824 is: 776,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,656 : 509,824 = 509,824 : x
  2. Step 2: Convert to fraction form
    334,656/509,824 = 509,824/x
  3. Step 3: Cross multiply
    334,656x = 509,824 × 509,824
  4. Step 4: Simplify right side
    334,656x = 259,920,510,976
  5. Step 5: Solve for x
    x = 259,920,510,976/334,656
  6. Step 6: Final answer
    x = 776,679.67

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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.