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Finding the Third Proportional to 264,055.50 and 570,197.25

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Solution

The third proportional to 264,055.50 and 570,197.25 is: 1,231,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,055.50 : 570,197.25 = 570,197.25 : x
  2. Step 2: Convert to fraction form
    264,055.50/570,197.25 = 570,197.25/x
  3. Step 3: Cross multiply
    264,055.50x = 570,197.25 × 570,197.25
  4. Step 4: Simplify right side
    264,055.50x = 325,124,903,907.56
  5. Step 5: Solve for x
    x = 325,124,903,907.56/264,055.50
  6. Step 6: Final answer
    x = 1,231,274.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.