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Finding the Third Proportional to 364,496.25 and 490,684.50

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Solution

The third proportional to 364,496.25 and 490,684.50 is: 660,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,496.25 : 490,684.50 = 490,684.50 : x
  2. Step 2: Convert to fraction form
    364,496.25/490,684.50 = 490,684.50/x
  3. Step 3: Cross multiply
    364,496.25x = 490,684.50 × 490,684.50
  4. Step 4: Simplify right side
    364,496.25x = 240,771,278,540.25
  5. Step 5: Solve for x
    x = 240,771,278,540.25/364,496.25
  6. Step 6: Final answer
    x = 660,559.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.