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Finding the Third Proportional to 301,764 and 657,636

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Solution

The third proportional to 301,764 and 657,636 is: 1,433,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,764 : 657,636 = 657,636 : x
  2. Step 2: Convert to fraction form
    301,764/657,636 = 657,636/x
  3. Step 3: Cross multiply
    301,764x = 657,636 × 657,636
  4. Step 4: Simplify right side
    301,764x = 432,485,108,496
  5. Step 5: Solve for x
    x = 432,485,108,496/301,764
  6. Step 6: Final answer
    x = 1,433,189.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.