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Finding the Third Proportional to 220,340.25 and 477,312.75

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Solution

The third proportional to 220,340.25 and 477,312.75 is: 1,033,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,340.25 : 477,312.75 = 477,312.75 : x
  2. Step 2: Convert to fraction form
    220,340.25/477,312.75 = 477,312.75/x
  3. Step 3: Cross multiply
    220,340.25x = 477,312.75 × 477,312.75
  4. Step 4: Simplify right side
    220,340.25x = 227,827,461,312.56
  5. Step 5: Solve for x
    x = 227,827,461,312.56/220,340.25
  6. Step 6: Final answer
    x = 1,033,980.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.