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Finding the Third Proportional to 238,972.50 and 521,421.50

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Solution

The third proportional to 238,972.50 and 521,421.50 is: 1,137,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,972.50 : 521,421.50 = 521,421.50 : x
  2. Step 2: Convert to fraction form
    238,972.50/521,421.50 = 521,421.50/x
  3. Step 3: Cross multiply
    238,972.50x = 521,421.50 × 521,421.50
  4. Step 4: Simplify right side
    238,972.50x = 271,880,380,662.25
  5. Step 5: Solve for x
    x = 271,880,380,662.25/238,972.50
  6. Step 6: Final answer
    x = 1,137,705.72

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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.