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Finding the Third Proportional to 235,233.75 and 509,347.50

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Solution

The third proportional to 235,233.75 and 509,347.50 is: 1,102,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,233.75 : 509,347.50 = 509,347.50 : x
  2. Step 2: Convert to fraction form
    235,233.75/509,347.50 = 509,347.50/x
  3. Step 3: Cross multiply
    235,233.75x = 509,347.50 × 509,347.50
  4. Step 4: Simplify right side
    235,233.75x = 259,434,875,756.25
  5. Step 5: Solve for x
    x = 259,434,875,756.25/235,233.75
  6. Step 6: Final answer
    x = 1,102,881.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.