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Finding the Third Proportional to 334,702 and 509,904

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Solution

The third proportional to 334,702 and 509,904 is: 776,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,702 : 509,904 = 509,904 : x
  2. Step 2: Convert to fraction form
    334,702/509,904 = 509,904/x
  3. Step 3: Cross multiply
    334,702x = 509,904 × 509,904
  4. Step 4: Simplify right side
    334,702x = 260,002,089,216
  5. Step 5: Solve for x
    x = 260,002,089,216/334,702
  6. Step 6: Final answer
    x = 776,816.66

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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.