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Finding the Third Proportional to 295,133 and 446,210

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Solution

The third proportional to 295,133 and 446,210 is: 674,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133 : 446,210 = 446,210 : x
  2. Step 2: Convert to fraction form
    295,133/446,210 = 446,210/x
  3. Step 3: Cross multiply
    295,133x = 446,210 × 446,210
  4. Step 4: Simplify right side
    295,133x = 199,103,364,100
  5. Step 5: Solve for x
    x = 199,103,364,100/295,133
  6. Step 6: Final answer
    x = 674,622.51

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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.