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Finding the Third Proportional to 335,834.25 and 709,573.50

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Solution

The third proportional to 335,834.25 and 709,573.50 is: 1,499,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,834.25 : 709,573.50 = 709,573.50 : x
  2. Step 2: Convert to fraction form
    335,834.25/709,573.50 = 709,573.50/x
  3. Step 3: Cross multiply
    335,834.25x = 709,573.50 × 709,573.50
  4. Step 4: Simplify right side
    335,834.25x = 503,494,551,902.25
  5. Step 5: Solve for x
    x = 503,494,551,902.25/335,834.25
  6. Step 6: Final answer
    x = 1,499,235.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.