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Finding the Third Proportional to 202,527 and 468,864

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Solution

The third proportional to 202,527 and 468,864 is: 1,085,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,527 : 468,864 = 468,864 : x
  2. Step 2: Convert to fraction form
    202,527/468,864 = 468,864/x
  3. Step 3: Cross multiply
    202,527x = 468,864 × 468,864
  4. Step 4: Simplify right side
    202,527x = 219,833,450,496
  5. Step 5: Solve for x
    x = 219,833,450,496/202,527
  6. Step 6: Final answer
    x = 1,085,452.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.