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Finding the Third Proportional to 295,416 and 446,616

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Solution

The third proportional to 295,416 and 446,616 is: 675,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,416 : 446,616 = 446,616 : x
  2. Step 2: Convert to fraction form
    295,416/446,616 = 446,616/x
  3. Step 3: Cross multiply
    295,416x = 446,616 × 446,616
  4. Step 4: Simplify right side
    295,416x = 199,465,851,456
  5. Step 5: Solve for x
    x = 199,465,851,456/295,416
  6. Step 6: Final answer
    x = 675,203.28

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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.