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Finding the Third Proportional to 233,266.50 and 509,996.25

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Solution

The third proportional to 233,266.50 and 509,996.25 is: 1,115,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.50 : 509,996.25 = 509,996.25 : x
  2. Step 2: Convert to fraction form
    233,266.50/509,996.25 = 509,996.25/x
  3. Step 3: Cross multiply
    233,266.50x = 509,996.25 × 509,996.25
  4. Step 4: Simplify right side
    233,266.50x = 260,096,175,014.06
  5. Step 5: Solve for x
    x = 260,096,175,014.06/233,266.50
  6. Step 6: Final answer
    x = 1,115,017.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.