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Finding the Third Proportional to 295,085 and 446,141

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Solution

The third proportional to 295,085 and 446,141 is: 674,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,085 : 446,141 = 446,141 : x
  2. Step 2: Convert to fraction form
    295,085/446,141 = 446,141/x
  3. Step 3: Cross multiply
    295,085x = 446,141 × 446,141
  4. Step 4: Simplify right side
    295,085x = 199,041,791,881
  5. Step 5: Solve for x
    x = 199,041,791,881/295,085
  6. Step 6: Final answer
    x = 674,523.58

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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.