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Finding the Third Proportional to 264,472.25 and 402,905.25

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Solution

The third proportional to 264,472.25 and 402,905.25 is: 613,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,472.25 : 402,905.25 = 402,905.25 : x
  2. Step 2: Convert to fraction form
    264,472.25/402,905.25 = 402,905.25/x
  3. Step 3: Cross multiply
    264,472.25x = 402,905.25 × 402,905.25
  4. Step 4: Simplify right side
    264,472.25x = 162,332,640,477.56
  5. Step 5: Solve for x
    x = 162,332,640,477.56/264,472.25
  6. Step 6: Final answer
    x = 613,798.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.