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Finding the Third Proportional to 233,788 and 330,804

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Solution

The third proportional to 233,788 and 330,804 is: 468,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,788 : 330,804 = 330,804 : x
  2. Step 2: Convert to fraction form
    233,788/330,804 = 330,804/x
  3. Step 3: Cross multiply
    233,788x = 330,804 × 330,804
  4. Step 4: Simplify right side
    233,788x = 109,431,286,416
  5. Step 5: Solve for x
    x = 109,431,286,416/233,788
  6. Step 6: Final answer
    x = 468,079.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.