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Finding the Third Proportional to 224,638.31 and 488,642.63

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Solution

The third proportional to 224,638.31 and 488,642.63 is: 1,062,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,638.31 : 488,642.63 = 488,642.63 : x
  2. Step 2: Convert to fraction form
    224,638.31/488,642.63 = 488,642.63/x
  3. Step 3: Cross multiply
    224,638.31x = 488,642.63 × 488,642.63
  4. Step 4: Simplify right side
    224,638.31x = 238,771,614,966.89
  5. Step 5: Solve for x
    x = 238,771,614,966.89/224,638.31
  6. Step 6: Final answer
    x = 1,062,915.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.