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Finding the Third Proportional to 301,139 and 654,766

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Solution

The third proportional to 301,139 and 654,766 is: 1,423,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,139 : 654,766 = 654,766 : x
  2. Step 2: Convert to fraction form
    301,139/654,766 = 654,766/x
  3. Step 3: Cross multiply
    301,139x = 654,766 × 654,766
  4. Step 4: Simplify right side
    301,139x = 428,718,514,756
  5. Step 5: Solve for x
    x = 428,718,514,756/301,139
  6. Step 6: Final answer
    x = 1,423,656.57

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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.