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Finding the Third Proportional to 233,712 and 504,208

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Solution

The third proportional to 233,712 and 504,208 is: 1,087,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712 : 504,208 = 504,208 : x
  2. Step 2: Convert to fraction form
    233,712/504,208 = 504,208/x
  3. Step 3: Cross multiply
    233,712x = 504,208 × 504,208
  4. Step 4: Simplify right side
    233,712x = 254,225,707,264
  5. Step 5: Solve for x
    x = 254,225,707,264/233,712
  6. Step 6: Final answer
    x = 1,087,773.44

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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.