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Finding the Third Proportional to 314,844 and 679,441

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Solution

The third proportional to 314,844 and 679,441 is: 1,466,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,844 : 679,441 = 679,441 : x
  2. Step 2: Convert to fraction form
    314,844/679,441 = 679,441/x
  3. Step 3: Cross multiply
    314,844x = 679,441 × 679,441
  4. Step 4: Simplify right side
    314,844x = 461,640,072,481
  5. Step 5: Solve for x
    x = 461,640,072,481/314,844
  6. Step 6: Final answer
    x = 1,466,250.18

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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.