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Finding the Third Proportional to 334,023.50 and 787,703.50

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Solution

The third proportional to 334,023.50 and 787,703.50 is: 1,857,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,023.50 : 787,703.50 = 787,703.50 : x
  2. Step 2: Convert to fraction form
    334,023.50/787,703.50 = 787,703.50/x
  3. Step 3: Cross multiply
    334,023.50x = 787,703.50 × 787,703.50
  4. Step 4: Simplify right side
    334,023.50x = 620,476,803,912.25
  5. Step 5: Solve for x
    x = 620,476,803,912.25/334,023.50
  6. Step 6: Final answer
    x = 1,857,584.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.