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Finding the Third Proportional to 351,724 and 756,780

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Solution

The third proportional to 351,724 and 756,780 is: 1,628,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,724 : 756,780 = 756,780 : x
  2. Step 2: Convert to fraction form
    351,724/756,780 = 756,780/x
  3. Step 3: Cross multiply
    351,724x = 756,780 × 756,780
  4. Step 4: Simplify right side
    351,724x = 572,715,968,400
  5. Step 5: Solve for x
    x = 572,715,968,400/351,724
  6. Step 6: Final answer
    x = 1,628,310.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.