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Finding the Third Proportional to 312,955 and 675,801

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Solution

The third proportional to 312,955 and 675,801 is: 1,459,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,955 : 675,801 = 675,801 : x
  2. Step 2: Convert to fraction form
    312,955/675,801 = 675,801/x
  3. Step 3: Cross multiply
    312,955x = 675,801 × 675,801
  4. Step 4: Simplify right side
    312,955x = 456,706,991,601
  5. Step 5: Solve for x
    x = 456,706,991,601/312,955
  6. Step 6: Final answer
    x = 1,459,337.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.