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Finding the Third Proportional to 361,733 and 785,723.50

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Solution

The third proportional to 361,733 and 785,723.50 is: 1,706,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,733 : 785,723.50 = 785,723.50 : x
  2. Step 2: Convert to fraction form
    361,733/785,723.50 = 785,723.50/x
  3. Step 3: Cross multiply
    361,733x = 785,723.50 × 785,723.50
  4. Step 4: Simplify right side
    361,733x = 617,361,418,452.25
  5. Step 5: Solve for x
    x = 617,361,418,452.25/361,733
  6. Step 6: Final answer
    x = 1,706,677.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.