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Finding the Third Proportional to 263,886.03 and 576,159.84

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Solution

The third proportional to 263,886.03 and 576,159.84 is: 1,257,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,886.03 : 576,159.84 = 576,159.84 : x
  2. Step 2: Convert to fraction form
    263,886.03/576,159.84 = 576,159.84/x
  3. Step 3: Cross multiply
    263,886.03x = 576,159.84 × 576,159.84
  4. Step 4: Simplify right side
    263,886.03x = 331,960,158,165.20
  5. Step 5: Solve for x
    x = 331,960,158,165.20/263,886.03
  6. Step 6: Final answer
    x = 1,257,967.91

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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.