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Finding the Third Proportional to 314,876 and 679,502

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Solution

The third proportional to 314,876 and 679,502 is: 1,466,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,876 : 679,502 = 679,502 : x
  2. Step 2: Convert to fraction form
    314,876/679,502 = 679,502/x
  3. Step 3: Cross multiply
    314,876x = 679,502 × 679,502
  4. Step 4: Simplify right side
    314,876x = 461,722,968,004
  5. Step 5: Solve for x
    x = 461,722,968,004/314,876
  6. Step 6: Final answer
    x = 1,466,364.44

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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.