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Finding the Third Proportional to 228,960 and 491,776

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Solution

The third proportional to 228,960 and 491,776 is: 1,056,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,960 : 491,776 = 491,776 : x
  2. Step 2: Convert to fraction form
    228,960/491,776 = 491,776/x
  3. Step 3: Cross multiply
    228,960x = 491,776 × 491,776
  4. Step 4: Simplify right side
    228,960x = 241,843,634,176
  5. Step 5: Solve for x
    x = 241,843,634,176/228,960
  6. Step 6: Final answer
    x = 1,056,270.24

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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.