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Finding the Third Proportional to 234,232 and 504,048

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Solution

The third proportional to 234,232 and 504,048 is: 1,084,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,232 : 504,048 = 504,048 : x
  2. Step 2: Convert to fraction form
    234,232/504,048 = 504,048/x
  3. Step 3: Cross multiply
    234,232x = 504,048 × 504,048
  4. Step 4: Simplify right side
    234,232x = 254,064,386,304
  5. Step 5: Solve for x
    x = 254,064,386,304/234,232
  6. Step 6: Final answer
    x = 1,084,669.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.