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Finding the Third Proportional to 235,359 and 518,224.50

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Solution

The third proportional to 235,359 and 518,224.50 is: 1,141,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,359 : 518,224.50 = 518,224.50 : x
  2. Step 2: Convert to fraction form
    235,359/518,224.50 = 518,224.50/x
  3. Step 3: Cross multiply
    235,359x = 518,224.50 × 518,224.50
  4. Step 4: Simplify right side
    235,359x = 268,556,632,400.25
  5. Step 5: Solve for x
    x = 268,556,632,400.25/235,359
  6. Step 6: Final answer
    x = 1,141,051.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.