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Finding the Third Proportional to 264,523 and 378,118

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Solution

The third proportional to 264,523 and 378,118 is: 540,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,523 : 378,118 = 378,118 : x
  2. Step 2: Convert to fraction form
    264,523/378,118 = 378,118/x
  3. Step 3: Cross multiply
    264,523x = 378,118 × 378,118
  4. Step 4: Simplify right side
    264,523x = 142,973,221,924
  5. Step 5: Solve for x
    x = 142,973,221,924/264,523
  6. Step 6: Final answer
    x = 540,494.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.