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Finding the Third Proportional to 484,996.50 and 734,205

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Solution

The third proportional to 484,996.50 and 734,205 is: 1,111,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,996.50 : 734,205 = 734,205 : x
  2. Step 2: Convert to fraction form
    484,996.50/734,205 = 734,205/x
  3. Step 3: Cross multiply
    484,996.50x = 734,205 × 734,205
  4. Step 4: Simplify right side
    484,996.50x = 539,056,982,025
  5. Step 5: Solve for x
    x = 539,056,982,025/484,996.50
  6. Step 6: Final answer
    x = 1,111,465.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.