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Finding the Third Proportional to 251,402.48 and 322,787.53

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Solution

The third proportional to 251,402.48 and 322,787.53 is: 414,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,402.48 : 322,787.53 = 322,787.53 : x
  2. Step 2: Convert to fraction form
    251,402.48/322,787.53 = 322,787.53/x
  3. Step 3: Cross multiply
    251,402.48x = 322,787.53 × 322,787.53
  4. Step 4: Simplify right side
    251,402.48x = 104,191,790,330.47
  5. Step 5: Solve for x
    x = 104,191,790,330.47/251,402.48
  6. Step 6: Final answer
    x = 414,442.17

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.