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Finding the Third Proportional to 334,701 and 509,904.75

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Solution

The third proportional to 334,701 and 509,904.75 is: 776,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,701 : 509,904.75 = 509,904.75 : x
  2. Step 2: Convert to fraction form
    334,701/509,904.75 = 509,904.75/x
  3. Step 3: Cross multiply
    334,701x = 509,904.75 × 509,904.75
  4. Step 4: Simplify right side
    334,701x = 260,002,854,072.56
  5. Step 5: Solve for x
    x = 260,002,854,072.56/334,701
  6. Step 6: Final answer
    x = 776,821.26

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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.