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Finding the Third Proportional to 295,434 and 446,647.50

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Solution

The third proportional to 295,434 and 446,647.50 is: 675,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,434 : 446,647.50 = 446,647.50 : x
  2. Step 2: Convert to fraction form
    295,434/446,647.50 = 446,647.50/x
  3. Step 3: Cross multiply
    295,434x = 446,647.50 × 446,647.50
  4. Step 4: Simplify right side
    295,434x = 199,493,989,256.25
  5. Step 5: Solve for x
    x = 199,493,989,256.25/295,434
  6. Step 6: Final answer
    x = 675,257.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.