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Finding the Third Proportional to 264,848.06 and 543,655.13

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Solution

The third proportional to 264,848.06 and 543,655.13 is: 1,115,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,848.06 : 543,655.13 = 543,655.13 : x
  2. Step 2: Convert to fraction form
    264,848.06/543,655.13 = 543,655.13/x
  3. Step 3: Cross multiply
    264,848.06x = 543,655.13 × 543,655.13
  4. Step 4: Simplify right side
    264,848.06x = 295,560,894,938.77
  5. Step 5: Solve for x
    x = 295,560,894,938.77/264,848.06
  6. Step 6: Final answer
    x = 1,115,963.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.