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Finding the Third Proportional to 238,477.50 and 521,788.50

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Solution

The third proportional to 238,477.50 and 521,788.50 is: 1,141,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,477.50 : 521,788.50 = 521,788.50 : x
  2. Step 2: Convert to fraction form
    238,477.50/521,788.50 = 521,788.50/x
  3. Step 3: Cross multiply
    238,477.50x = 521,788.50 × 521,788.50
  4. Step 4: Simplify right side
    238,477.50x = 272,263,238,732.25
  5. Step 5: Solve for x
    x = 272,263,238,732.25/238,477.50
  6. Step 6: Final answer
    x = 1,141,672.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.