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Finding the Third Proportional to 264,807.56 and 588,459.94

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Solution

The third proportional to 264,807.56 and 588,459.94 is: 1,307,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807.56 : 588,459.94 = 588,459.94 : x
  2. Step 2: Convert to fraction form
    264,807.56/588,459.94 = 588,459.94/x
  3. Step 3: Cross multiply
    264,807.56x = 588,459.94 × 588,459.94
  4. Step 4: Simplify right side
    264,807.56x = 346,285,098,042.50
  5. Step 5: Solve for x
    x = 346,285,098,042.50/264,807.56
  6. Step 6: Final answer
    x = 1,307,685.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.