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Finding the Third Proportional to 519,224.55 and 785,765.18

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Solution

The third proportional to 519,224.55 and 785,765.18 is: 1,189,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,224.55 : 785,765.18 = 785,765.18 : x
  2. Step 2: Convert to fraction form
    519,224.55/785,765.18 = 785,765.18/x
  3. Step 3: Cross multiply
    519,224.55x = 785,765.18 × 785,765.18
  4. Step 4: Simplify right side
    519,224.55x = 617,426,917,609.33
  5. Step 5: Solve for x
    x = 617,426,917,609.33/519,224.55
  6. Step 6: Final answer
    x = 1,189,132.74

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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.