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Finding the Third Proportional to 238,722.75 and 514,804.50

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Solution

The third proportional to 238,722.75 and 514,804.50 is: 1,110,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,722.75 : 514,804.50 = 514,804.50 : x
  2. Step 2: Convert to fraction form
    238,722.75/514,804.50 = 514,804.50/x
  3. Step 3: Cross multiply
    238,722.75x = 514,804.50 × 514,804.50
  4. Step 4: Simplify right side
    238,722.75x = 265,023,673,220.25
  5. Step 5: Solve for x
    x = 265,023,673,220.25/238,722.75
  6. Step 6: Final answer
    x = 1,110,173.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.