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Finding the Third Proportional to 326,143 and 498,941.50

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Solution

The third proportional to 326,143 and 498,941.50 is: 763,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,143 : 498,941.50 = 498,941.50 : x
  2. Step 2: Convert to fraction form
    326,143/498,941.50 = 498,941.50/x
  3. Step 3: Cross multiply
    326,143x = 498,941.50 × 498,941.50
  4. Step 4: Simplify right side
    326,143x = 248,942,620,422.25
  5. Step 5: Solve for x
    x = 248,942,620,422.25/326,143
  6. Step 6: Final answer
    x = 763,292.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.