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Finding the Third Proportional to 264,341 and 376,828

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Solution

The third proportional to 264,341 and 376,828 is: 537,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,341 : 376,828 = 376,828 : x
  2. Step 2: Convert to fraction form
    264,341/376,828 = 376,828/x
  3. Step 3: Cross multiply
    264,341x = 376,828 × 376,828
  4. Step 4: Simplify right side
    264,341x = 141,999,341,584
  5. Step 5: Solve for x
    x = 141,999,341,584/264,341
  6. Step 6: Final answer
    x = 537,182.43

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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.