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Finding the Third Proportional to 295,562 and 446,447

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Solution

The third proportional to 295,562 and 446,447 is: 674,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,562 : 446,447 = 446,447 : x
  2. Step 2: Convert to fraction form
    295,562/446,447 = 446,447/x
  3. Step 3: Cross multiply
    295,562x = 446,447 × 446,447
  4. Step 4: Simplify right side
    295,562x = 199,314,923,809
  5. Step 5: Solve for x
    x = 199,314,923,809/295,562
  6. Step 6: Final answer
    x = 674,359.10

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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.