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Finding the Third Proportional to 315,674 and 675,758

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Solution

The third proportional to 315,674 and 675,758 is: 1,446,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,674 : 675,758 = 675,758 : x
  2. Step 2: Convert to fraction form
    315,674/675,758 = 675,758/x
  3. Step 3: Cross multiply
    315,674x = 675,758 × 675,758
  4. Step 4: Simplify right side
    315,674x = 456,648,874,564
  5. Step 5: Solve for x
    x = 456,648,874,564/315,674
  6. Step 6: Final answer
    x = 1,446,583.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.