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Finding the Third Proportional to 598,191.75 and 919,464.75

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Solution

The third proportional to 598,191.75 and 919,464.75 is: 1,413,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,191.75 : 919,464.75 = 919,464.75 : x
  2. Step 2: Convert to fraction form
    598,191.75/919,464.75 = 919,464.75/x
  3. Step 3: Cross multiply
    598,191.75x = 919,464.75 × 919,464.75
  4. Step 4: Simplify right side
    598,191.75x = 845,415,426,492.56
  5. Step 5: Solve for x
    x = 845,415,426,492.56/598,191.75
  6. Step 6: Final answer
    x = 1,413,285.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.