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Finding the Third Proportional to 264,633 and 573,735

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Solution

The third proportional to 264,633 and 573,735 is: 1,243,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,633 : 573,735 = 573,735 : x
  2. Step 2: Convert to fraction form
    264,633/573,735 = 573,735/x
  3. Step 3: Cross multiply
    264,633x = 573,735 × 573,735
  4. Step 4: Simplify right side
    264,633x = 329,171,850,225
  5. Step 5: Solve for x
    x = 329,171,850,225/264,633
  6. Step 6: Final answer
    x = 1,243,880.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.