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Finding the Third Proportional to 313,371 and 477,400.50

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Solution

The third proportional to 313,371 and 477,400.50 is: 727,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,371 : 477,400.50 = 477,400.50 : x
  2. Step 2: Convert to fraction form
    313,371/477,400.50 = 477,400.50/x
  3. Step 3: Cross multiply
    313,371x = 477,400.50 × 477,400.50
  4. Step 4: Simplify right side
    313,371x = 227,911,237,400.25
  5. Step 5: Solve for x
    x = 227,911,237,400.25/313,371
  6. Step 6: Final answer
    x = 727,288.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.