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Finding the Third Proportional to 334,219.50 and 695,977.50

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Solution

The third proportional to 334,219.50 and 695,977.50 is: 1,449,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,219.50 : 695,977.50 = 695,977.50 : x
  2. Step 2: Convert to fraction form
    334,219.50/695,977.50 = 695,977.50/x
  3. Step 3: Cross multiply
    334,219.50x = 695,977.50 × 695,977.50
  4. Step 4: Simplify right side
    334,219.50x = 484,384,680,506.25
  5. Step 5: Solve for x
    x = 484,384,680,506.25/334,219.50
  6. Step 6: Final answer
    x = 1,449,301.07

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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.