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Finding the Third Proportional to 316,334 and 746,717

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Solution

The third proportional to 316,334 and 746,717 is: 1,762,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,334 : 746,717 = 746,717 : x
  2. Step 2: Convert to fraction form
    316,334/746,717 = 746,717/x
  3. Step 3: Cross multiply
    316,334x = 746,717 × 746,717
  4. Step 4: Simplify right side
    316,334x = 557,586,278,089
  5. Step 5: Solve for x
    x = 557,586,278,089/316,334
  6. Step 6: Final answer
    x = 1,762,650.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.