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Finding the Third Proportional to 295,104 and 432,869

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Solution

The third proportional to 295,104 and 432,869 is: 634,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,104 : 432,869 = 432,869 : x
  2. Step 2: Convert to fraction form
    295,104/432,869 = 432,869/x
  3. Step 3: Cross multiply
    295,104x = 432,869 × 432,869
  4. Step 4: Simplify right side
    295,104x = 187,375,571,161
  5. Step 5: Solve for x
    x = 187,375,571,161/295,104
  6. Step 6: Final answer
    x = 634,947.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.