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Finding the Third Proportional to 201,410 and 470,405

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Solution

The third proportional to 201,410 and 470,405 is: 1,098,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410 : 470,405 = 470,405 : x
  2. Step 2: Convert to fraction form
    201,410/470,405 = 470,405/x
  3. Step 3: Cross multiply
    201,410x = 470,405 × 470,405
  4. Step 4: Simplify right side
    201,410x = 221,280,864,025
  5. Step 5: Solve for x
    x = 221,280,864,025/201,410
  6. Step 6: Final answer
    x = 1,098,658.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.