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Finding the Third Proportional to 264,908 and 378,332

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Solution

The third proportional to 264,908 and 378,332 is: 540,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,908 : 378,332 = 378,332 : x
  2. Step 2: Convert to fraction form
    264,908/378,332 = 378,332/x
  3. Step 3: Cross multiply
    264,908x = 378,332 × 378,332
  4. Step 4: Simplify right side
    264,908x = 143,135,102,224
  5. Step 5: Solve for x
    x = 143,135,102,224/264,908
  6. Step 6: Final answer
    x = 540,320.04

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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.