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Finding the Third Proportional to 233,746 and 504,398

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Solution

The third proportional to 233,746 and 504,398 is: 1,088,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,746 : 504,398 = 504,398 : x
  2. Step 2: Convert to fraction form
    233,746/504,398 = 504,398/x
  3. Step 3: Cross multiply
    233,746x = 504,398 × 504,398
  4. Step 4: Simplify right side
    233,746x = 254,417,342,404
  5. Step 5: Solve for x
    x = 254,417,342,404/233,746
  6. Step 6: Final answer
    x = 1,088,435.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.