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Finding the Third Proportional to 228,404 and 491,804

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Solution

The third proportional to 228,404 and 491,804 is: 1,058,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,404 : 491,804 = 491,804 : x
  2. Step 2: Convert to fraction form
    228,404/491,804 = 491,804/x
  3. Step 3: Cross multiply
    228,404x = 491,804 × 491,804
  4. Step 4: Simplify right side
    228,404x = 241,871,174,416
  5. Step 5: Solve for x
    x = 241,871,174,416/228,404
  6. Step 6: Final answer
    x = 1,058,962.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.