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Finding the Third Proportional to 301,028 and 643,560

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Solution

The third proportional to 301,028 and 643,560 is: 1,375,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,028 : 643,560 = 643,560 : x
  2. Step 2: Convert to fraction form
    301,028/643,560 = 643,560/x
  3. Step 3: Cross multiply
    301,028x = 643,560 × 643,560
  4. Step 4: Simplify right side
    301,028x = 414,169,473,600
  5. Step 5: Solve for x
    x = 414,169,473,600/301,028
  6. Step 6: Final answer
    x = 1,375,850.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.