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Finding the Third Proportional to 264,300 and 376,766

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Solution

The third proportional to 264,300 and 376,766 is: 537,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,300 : 376,766 = 376,766 : x
  2. Step 2: Convert to fraction form
    264,300/376,766 = 376,766/x
  3. Step 3: Cross multiply
    264,300x = 376,766 × 376,766
  4. Step 4: Simplify right side
    264,300x = 141,952,618,756
  5. Step 5: Solve for x
    x = 141,952,618,756/264,300
  6. Step 6: Final answer
    x = 537,088.99

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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.