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Finding the Third Proportional to 264,885 and 573,774

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Solution

The third proportional to 264,885 and 573,774 is: 1,242,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,885 : 573,774 = 573,774 : x
  2. Step 2: Convert to fraction form
    264,885/573,774 = 573,774/x
  3. Step 3: Cross multiply
    264,885x = 573,774 × 573,774
  4. Step 4: Simplify right side
    264,885x = 329,216,603,076
  5. Step 5: Solve for x
    x = 329,216,603,076/264,885
  6. Step 6: Final answer
    x = 1,242,866.16

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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.