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Finding the Third Proportional to 346,500 and 467,154

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Solution

The third proportional to 346,500 and 467,154 is: 629,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,500 : 467,154 = 467,154 : x
  2. Step 2: Convert to fraction form
    346,500/467,154 = 467,154/x
  3. Step 3: Cross multiply
    346,500x = 467,154 × 467,154
  4. Step 4: Simplify right side
    346,500x = 218,232,859,716
  5. Step 5: Solve for x
    x = 218,232,859,716/346,500
  6. Step 6: Final answer
    x = 629,820.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.