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Finding the Third Proportional to 264,396 and 376,902

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Solution

The third proportional to 264,396 and 376,902 is: 537,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,396 : 376,902 = 376,902 : x
  2. Step 2: Convert to fraction form
    264,396/376,902 = 376,902/x
  3. Step 3: Cross multiply
    264,396x = 376,902 × 376,902
  4. Step 4: Simplify right side
    264,396x = 142,055,117,604
  5. Step 5: Solve for x
    x = 142,055,117,604/264,396
  6. Step 6: Final answer
    x = 537,281.64

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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.