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Finding the Third Proportional to 235,008 and 458,208

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Solution

The third proportional to 235,008 and 458,208 is: 893,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,008 : 458,208 = 458,208 : x
  2. Step 2: Convert to fraction form
    235,008/458,208 = 458,208/x
  3. Step 3: Cross multiply
    235,008x = 458,208 × 458,208
  4. Step 4: Simplify right side
    235,008x = 209,954,571,264
  5. Step 5: Solve for x
    x = 209,954,571,264/235,008
  6. Step 6: Final answer
    x = 893,393.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.