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Finding the Third Proportional to 334,729 and 509,934

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Solution

The third proportional to 334,729 and 509,934 is: 776,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,729 : 509,934 = 509,934 : x
  2. Step 2: Convert to fraction form
    334,729/509,934 = 509,934/x
  3. Step 3: Cross multiply
    334,729x = 509,934 × 509,934
  4. Step 4: Simplify right side
    334,729x = 260,032,684,356
  5. Step 5: Solve for x
    x = 260,032,684,356/334,729
  6. Step 6: Final answer
    x = 776,845.40

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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.