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Finding the Third Proportional to 313,735.50 and 484,774.50

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Solution

The third proportional to 313,735.50 and 484,774.50 is: 749,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,735.50 : 484,774.50 = 484,774.50 : x
  2. Step 2: Convert to fraction form
    313,735.50/484,774.50 = 484,774.50/x
  3. Step 3: Cross multiply
    313,735.50x = 484,774.50 × 484,774.50
  4. Step 4: Simplify right side
    313,735.50x = 235,006,315,850.25
  5. Step 5: Solve for x
    x = 235,006,315,850.25/313,735.50
  6. Step 6: Final answer
    x = 749,058.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.