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Finding the Third Proportional to 334,704 and 509,908

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Solution

The third proportional to 334,704 and 509,908 is: 776,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,704 : 509,908 = 509,908 : x
  2. Step 2: Convert to fraction form
    334,704/509,908 = 509,908/x
  3. Step 3: Cross multiply
    334,704x = 509,908 × 509,908
  4. Step 4: Simplify right side
    334,704x = 260,006,168,464
  5. Step 5: Solve for x
    x = 260,006,168,464/334,704
  6. Step 6: Final answer
    x = 776,824.20

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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.