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Finding the Third Proportional to 230,769 and 506,979

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Solution

The third proportional to 230,769 and 506,979 is: 1,113,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 506,979 = 506,979 : x
  2. Step 2: Convert to fraction form
    230,769/506,979 = 506,979/x
  3. Step 3: Cross multiply
    230,769x = 506,979 × 506,979
  4. Step 4: Simplify right side
    230,769x = 257,027,706,441
  5. Step 5: Solve for x
    x = 257,027,706,441/230,769
  6. Step 6: Final answer
    x = 1,113,787.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.