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Finding the Third Proportional to 301,141 and 654,770

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Solution

The third proportional to 301,141 and 654,770 is: 1,423,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,141 : 654,770 = 654,770 : x
  2. Step 2: Convert to fraction form
    301,141/654,770 = 654,770/x
  3. Step 3: Cross multiply
    301,141x = 654,770 × 654,770
  4. Step 4: Simplify right side
    301,141x = 428,723,752,900
  5. Step 5: Solve for x
    x = 428,723,752,900/301,141
  6. Step 6: Final answer
    x = 1,423,664.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.