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Finding the Third Proportional to 233,022 and 509,654

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Solution

The third proportional to 233,022 and 509,654 is: 1,114,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,022 : 509,654 = 509,654 : x
  2. Step 2: Convert to fraction form
    233,022/509,654 = 509,654/x
  3. Step 3: Cross multiply
    233,022x = 509,654 × 509,654
  4. Step 4: Simplify right side
    233,022x = 259,747,199,716
  5. Step 5: Solve for x
    x = 259,747,199,716/233,022
  6. Step 6: Final answer
    x = 1,114,689.60

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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.