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Finding the Third Proportional to 364,040.25 and 569,826.75

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Solution

The third proportional to 364,040.25 and 569,826.75 is: 891,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,040.25 : 569,826.75 = 569,826.75 : x
  2. Step 2: Convert to fraction form
    364,040.25/569,826.75 = 569,826.75/x
  3. Step 3: Cross multiply
    364,040.25x = 569,826.75 × 569,826.75
  4. Step 4: Simplify right side
    364,040.25x = 324,702,525,015.56
  5. Step 5: Solve for x
    x = 324,702,525,015.56/364,040.25
  6. Step 6: Final answer
    x = 891,941.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.