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Finding the Third Proportional to 233,897 and 492,244

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Solution

The third proportional to 233,897 and 492,244 is: 1,035,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,897 : 492,244 = 492,244 : x
  2. Step 2: Convert to fraction form
    233,897/492,244 = 492,244/x
  3. Step 3: Cross multiply
    233,897x = 492,244 × 492,244
  4. Step 4: Simplify right side
    233,897x = 242,304,155,536
  5. Step 5: Solve for x
    x = 242,304,155,536/233,897
  6. Step 6: Final answer
    x = 1,035,943.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.