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Finding the Third Proportional to 262,622.25 and 576,294.75

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Solution

The third proportional to 262,622.25 and 576,294.75 is: 1,264,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,622.25 : 576,294.75 = 576,294.75 : x
  2. Step 2: Convert to fraction form
    262,622.25/576,294.75 = 576,294.75/x
  3. Step 3: Cross multiply
    262,622.25x = 576,294.75 × 576,294.75
  4. Step 4: Simplify right side
    262,622.25x = 332,115,638,877.56
  5. Step 5: Solve for x
    x = 332,115,638,877.56/262,622.25
  6. Step 6: Final answer
    x = 1,264,613.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.