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Finding the Third Proportional to 247,205 and 529,405

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Solution

The third proportional to 247,205 and 529,405 is: 1,133,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,205 : 529,405 = 529,405 : x
  2. Step 2: Convert to fraction form
    247,205/529,405 = 529,405/x
  3. Step 3: Cross multiply
    247,205x = 529,405 × 529,405
  4. Step 4: Simplify right side
    247,205x = 280,269,654,025
  5. Step 5: Solve for x
    x = 280,269,654,025/247,205
  6. Step 6: Final answer
    x = 1,133,753.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.