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Finding the Third Proportional to 233,611.50 and 502,764

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Solution

The third proportional to 233,611.50 and 502,764 is: 1,082,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,611.50 : 502,764 = 502,764 : x
  2. Step 2: Convert to fraction form
    233,611.50/502,764 = 502,764/x
  3. Step 3: Cross multiply
    233,611.50x = 502,764 × 502,764
  4. Step 4: Simplify right side
    233,611.50x = 252,771,639,696
  5. Step 5: Solve for x
    x = 252,771,639,696/233,611.50
  6. Step 6: Final answer
    x = 1,082,017.11

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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.