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Finding the Third Proportional to 314,846 and 679,444

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Solution

The third proportional to 314,846 and 679,444 is: 1,466,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,846 : 679,444 = 679,444 : x
  2. Step 2: Convert to fraction form
    314,846/679,444 = 679,444/x
  3. Step 3: Cross multiply
    314,846x = 679,444 × 679,444
  4. Step 4: Simplify right side
    314,846x = 461,644,149,136
  5. Step 5: Solve for x
    x = 461,644,149,136/314,846
  6. Step 6: Final answer
    x = 1,466,253.82

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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.