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Finding the Third Proportional to 232,025 and 491,508

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Solution

The third proportional to 232,025 and 491,508 is: 1,041,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,025 : 491,508 = 491,508 : x
  2. Step 2: Convert to fraction form
    232,025/491,508 = 491,508/x
  3. Step 3: Cross multiply
    232,025x = 491,508 × 491,508
  4. Step 4: Simplify right side
    232,025x = 241,580,114,064
  5. Step 5: Solve for x
    x = 241,580,114,064/232,025
  6. Step 6: Final answer
    x = 1,041,181.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.