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Finding the Third Proportional to 301,650 and 595,686

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Solution

The third proportional to 301,650 and 595,686 is: 1,176,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,650 : 595,686 = 595,686 : x
  2. Step 2: Convert to fraction form
    301,650/595,686 = 595,686/x
  3. Step 3: Cross multiply
    301,650x = 595,686 × 595,686
  4. Step 4: Simplify right side
    301,650x = 354,841,810,596
  5. Step 5: Solve for x
    x = 354,841,810,596/301,650
  6. Step 6: Final answer
    x = 1,176,336.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.