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Finding the Third Proportional to 230,476.50 and 502,980

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Solution

The third proportional to 230,476.50 and 502,980 is: 1,097,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,476.50 : 502,980 = 502,980 : x
  2. Step 2: Convert to fraction form
    230,476.50/502,980 = 502,980/x
  3. Step 3: Cross multiply
    230,476.50x = 502,980 × 502,980
  4. Step 4: Simplify right side
    230,476.50x = 252,988,880,400
  5. Step 5: Solve for x
    x = 252,988,880,400/230,476.50
  6. Step 6: Final answer
    x = 1,097,677.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.