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Finding the Third Proportional to 610,684.50 and 843,850.50

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Solution

The third proportional to 610,684.50 and 843,850.50 is: 1,166,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,684.50 : 843,850.50 = 843,850.50 : x
  2. Step 2: Convert to fraction form
    610,684.50/843,850.50 = 843,850.50/x
  3. Step 3: Cross multiply
    610,684.50x = 843,850.50 × 843,850.50
  4. Step 4: Simplify right side
    610,684.50x = 712,083,666,350.25
  5. Step 5: Solve for x
    x = 712,083,666,350.25/610,684.50
  6. Step 6: Final answer
    x = 1,166,041.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.