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Finding the Third Proportional to 263,600 and 577,384

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Solution

The third proportional to 263,600 and 577,384 is: 1,264,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,600 : 577,384 = 577,384 : x
  2. Step 2: Convert to fraction form
    263,600/577,384 = 577,384/x
  3. Step 3: Cross multiply
    263,600x = 577,384 × 577,384
  4. Step 4: Simplify right side
    263,600x = 333,372,283,456
  5. Step 5: Solve for x
    x = 333,372,283,456/263,600
  6. Step 6: Final answer
    x = 1,264,690.00

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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.