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Finding the Third Proportional to 301,135 and 654,758

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Solution

The third proportional to 301,135 and 654,758 is: 1,423,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135 : 654,758 = 654,758 : x
  2. Step 2: Convert to fraction form
    301,135/654,758 = 654,758/x
  3. Step 3: Cross multiply
    301,135x = 654,758 × 654,758
  4. Step 4: Simplify right side
    301,135x = 428,708,038,564
  5. Step 5: Solve for x
    x = 428,708,038,564/301,135
  6. Step 6: Final answer
    x = 1,423,640.69

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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.