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Finding the Third Proportional to 610,906.50 and 1,340,032.50

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Solution

The third proportional to 610,906.50 and 1,340,032.50 is: 2,939,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,906.50 : 1,340,032.50 = 1,340,032.50 : x
  2. Step 2: Convert to fraction form
    610,906.50/1,340,032.50 = 1,340,032.50/x
  3. Step 3: Cross multiply
    610,906.50x = 1,340,032.50 × 1,340,032.50
  4. Step 4: Simplify right side
    610,906.50x = 1,795,687,101,056.25
  5. Step 5: Solve for x
    x = 1,795,687,101,056.25/610,906.50
  6. Step 6: Final answer
    x = 2,939,381.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.