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Finding the Third Proportional to 232,503 and 510,742.50

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Solution

The third proportional to 232,503 and 510,742.50 is: 1,121,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,503 : 510,742.50 = 510,742.50 : x
  2. Step 2: Convert to fraction form
    232,503/510,742.50 = 510,742.50/x
  3. Step 3: Cross multiply
    232,503x = 510,742.50 × 510,742.50
  4. Step 4: Simplify right side
    232,503x = 260,857,901,306.25
  5. Step 5: Solve for x
    x = 260,857,901,306.25/232,503
  6. Step 6: Final answer
    x = 1,121,954.99

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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.