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Finding the Third Proportional to 314,620 and 679,328

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Solution

The third proportional to 314,620 and 679,328 is: 1,466,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,620 : 679,328 = 679,328 : x
  2. Step 2: Convert to fraction form
    314,620/679,328 = 679,328/x
  3. Step 3: Cross multiply
    314,620x = 679,328 × 679,328
  4. Step 4: Simplify right side
    314,620x = 461,486,531,584
  5. Step 5: Solve for x
    x = 461,486,531,584/314,620
  6. Step 6: Final answer
    x = 1,466,806.09

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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.