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Finding the Third Proportional to 334,209 and 695,958

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Solution

The third proportional to 334,209 and 695,958 is: 1,449,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,209 : 695,958 = 695,958 : x
  2. Step 2: Convert to fraction form
    334,209/695,958 = 695,958/x
  3. Step 3: Cross multiply
    334,209x = 695,958 × 695,958
  4. Step 4: Simplify right side
    334,209x = 484,357,537,764
  5. Step 5: Solve for x
    x = 484,357,537,764/334,209
  6. Step 6: Final answer
    x = 1,449,265.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.