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Finding the Third Proportional to 264,334 and 376,818

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Solution

The third proportional to 264,334 and 376,818 is: 537,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,334 : 376,818 = 376,818 : x
  2. Step 2: Convert to fraction form
    264,334/376,818 = 376,818/x
  3. Step 3: Cross multiply
    264,334x = 376,818 × 376,818
  4. Step 4: Simplify right side
    264,334x = 141,991,805,124
  5. Step 5: Solve for x
    x = 141,991,805,124/264,334
  6. Step 6: Final answer
    x = 537,168.15

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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.