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Finding the Third Proportional to 230,076 and 489,960

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Solution

The third proportional to 230,076 and 489,960 is: 1,043,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076 : 489,960 = 489,960 : x
  2. Step 2: Convert to fraction form
    230,076/489,960 = 489,960/x
  3. Step 3: Cross multiply
    230,076x = 489,960 × 489,960
  4. Step 4: Simplify right side
    230,076x = 240,060,801,600
  5. Step 5: Solve for x
    x = 240,060,801,600/230,076
  6. Step 6: Final answer
    x = 1,043,397.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.