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Finding the Third Proportional to 263,260.13 and 621,244.69

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Solution

The third proportional to 263,260.13 and 621,244.69 is: 1,466,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 621,244.69 = 621,244.69 : x
  2. Step 2: Convert to fraction form
    263,260.13/621,244.69 = 621,244.69/x
  3. Step 3: Cross multiply
    263,260.13x = 621,244.69 × 621,244.69
  4. Step 4: Simplify right side
    263,260.13x = 385,944,961,746.97
  5. Step 5: Solve for x
    x = 385,944,961,746.97/263,260.13
  6. Step 6: Final answer
    x = 1,466,021.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.