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Finding the Third Proportional to 264,150.28 and 575,457.75

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Solution

The third proportional to 264,150.28 and 575,457.75 is: 1,253,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,150.28 : 575,457.75 = 575,457.75 : x
  2. Step 2: Convert to fraction form
    264,150.28/575,457.75 = 575,457.75/x
  3. Step 3: Cross multiply
    264,150.28x = 575,457.75 × 575,457.75
  4. Step 4: Simplify right side
    264,150.28x = 331,151,622,035.06
  5. Step 5: Solve for x
    x = 331,151,622,035.06/264,150.28
  6. Step 6: Final answer
    x = 1,253,648.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.