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Finding the Third Proportional to 227,124.75 and 491,871

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Solution

The third proportional to 227,124.75 and 491,871 is: 1,065,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,124.75 : 491,871 = 491,871 : x
  2. Step 2: Convert to fraction form
    227,124.75/491,871 = 491,871/x
  3. Step 3: Cross multiply
    227,124.75x = 491,871 × 491,871
  4. Step 4: Simplify right side
    227,124.75x = 241,937,080,641
  5. Step 5: Solve for x
    x = 241,937,080,641/227,124.75
  6. Step 6: Final answer
    x = 1,065,216.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.