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Finding the Third Proportional to 254,872 and 404,905

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Solution

The third proportional to 254,872 and 404,905 is: 643,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,872 : 404,905 = 404,905 : x
  2. Step 2: Convert to fraction form
    254,872/404,905 = 404,905/x
  3. Step 3: Cross multiply
    254,872x = 404,905 × 404,905
  4. Step 4: Simplify right side
    254,872x = 163,948,059,025
  5. Step 5: Solve for x
    x = 163,948,059,025/254,872
  6. Step 6: Final answer
    x = 643,256.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.