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Finding the Third Proportional to 334,693 and 509,883

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Solution

The third proportional to 334,693 and 509,883 is: 776,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,693 : 509,883 = 509,883 : x
  2. Step 2: Convert to fraction form
    334,693/509,883 = 509,883/x
  3. Step 3: Cross multiply
    334,693x = 509,883 × 509,883
  4. Step 4: Simplify right side
    334,693x = 259,980,673,689
  5. Step 5: Solve for x
    x = 259,980,673,689/334,693
  6. Step 6: Final answer
    x = 776,773.56

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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.