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Finding the Third Proportional to 310,635 and 679,427

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Solution

The third proportional to 310,635 and 679,427 is: 1,486,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,635 : 679,427 = 679,427 : x
  2. Step 2: Convert to fraction form
    310,635/679,427 = 679,427/x
  3. Step 3: Cross multiply
    310,635x = 679,427 × 679,427
  4. Step 4: Simplify right side
    310,635x = 461,621,048,329
  5. Step 5: Solve for x
    x = 461,621,048,329/310,635
  6. Step 6: Final answer
    x = 1,486,056.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.