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Finding the Third Proportional to 301,012 and 657,992

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Solution

The third proportional to 301,012 and 657,992 is: 1,438,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,012 : 657,992 = 657,992 : x
  2. Step 2: Convert to fraction form
    301,012/657,992 = 657,992/x
  3. Step 3: Cross multiply
    301,012x = 657,992 × 657,992
  4. Step 4: Simplify right side
    301,012x = 432,953,472,064
  5. Step 5: Solve for x
    x = 432,953,472,064/301,012
  6. Step 6: Final answer
    x = 1,438,326.29

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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.