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Finding the Third Proportional to 346,954 and 536,188

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Solution

The third proportional to 346,954 and 536,188 is: 828,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,954 : 536,188 = 536,188 : x
  2. Step 2: Convert to fraction form
    346,954/536,188 = 536,188/x
  3. Step 3: Cross multiply
    346,954x = 536,188 × 536,188
  4. Step 4: Simplify right side
    346,954x = 287,497,571,344
  5. Step 5: Solve for x
    x = 287,497,571,344/346,954
  6. Step 6: Final answer
    x = 828,633.11

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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.