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Finding the Third Proportional to 310,662 and 666,636

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Solution

The third proportional to 310,662 and 666,636 is: 1,430,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,662 : 666,636 = 666,636 : x
  2. Step 2: Convert to fraction form
    310,662/666,636 = 666,636/x
  3. Step 3: Cross multiply
    310,662x = 666,636 × 666,636
  4. Step 4: Simplify right side
    310,662x = 444,403,556,496
  5. Step 5: Solve for x
    x = 444,403,556,496/310,662
  6. Step 6: Final answer
    x = 1,430,505.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.