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Finding the Third Proportional to 301,014 and 657,996

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Solution

The third proportional to 301,014 and 657,996 is: 1,438,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,014 : 657,996 = 657,996 : x
  2. Step 2: Convert to fraction form
    301,014/657,996 = 657,996/x
  3. Step 3: Cross multiply
    301,014x = 657,996 × 657,996
  4. Step 4: Simplify right side
    301,014x = 432,958,736,016
  5. Step 5: Solve for x
    x = 432,958,736,016/301,014
  6. Step 6: Final answer
    x = 1,438,334.22

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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.