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Finding the Third Proportional to 301,830 and 408,457

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Solution

The third proportional to 301,830 and 408,457 is: 552,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830 : 408,457 = 408,457 : x
  2. Step 2: Convert to fraction form
    301,830/408,457 = 408,457/x
  3. Step 3: Cross multiply
    301,830x = 408,457 × 408,457
  4. Step 4: Simplify right side
    301,830x = 166,837,120,849
  5. Step 5: Solve for x
    x = 166,837,120,849/301,830
  6. Step 6: Final answer
    x = 552,751.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.