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Finding the Third Proportional to 334,716 and 509,925

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Solution

The third proportional to 334,716 and 509,925 is: 776,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,716 : 509,925 = 509,925 : x
  2. Step 2: Convert to fraction form
    334,716/509,925 = 509,925/x
  3. Step 3: Cross multiply
    334,716x = 509,925 × 509,925
  4. Step 4: Simplify right side
    334,716x = 260,023,505,625
  5. Step 5: Solve for x
    x = 260,023,505,625/334,716
  6. Step 6: Final answer
    x = 776,848.15

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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.