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Finding the Third Proportional to 363,588.75 and 785,254.50

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Solution

The third proportional to 363,588.75 and 785,254.50 is: 1,695,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,588.75 : 785,254.50 = 785,254.50 : x
  2. Step 2: Convert to fraction form
    363,588.75/785,254.50 = 785,254.50/x
  3. Step 3: Cross multiply
    363,588.75x = 785,254.50 × 785,254.50
  4. Step 4: Simplify right side
    363,588.75x = 616,624,629,770.25
  5. Step 5: Solve for x
    x = 616,624,629,770.25/363,588.75
  6. Step 6: Final answer
    x = 1,695,939.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.