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Finding the Third Proportional to 346,956 and 536,190

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Solution

The third proportional to 346,956 and 536,190 is: 828,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,956 : 536,190 = 536,190 : x
  2. Step 2: Convert to fraction form
    346,956/536,190 = 536,190/x
  3. Step 3: Cross multiply
    346,956x = 536,190 × 536,190
  4. Step 4: Simplify right side
    346,956x = 287,499,716,100
  5. Step 5: Solve for x
    x = 287,499,716,100/346,956
  6. Step 6: Final answer
    x = 828,634.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.