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Finding the Third Proportional to 301,655 and 595,696

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Solution

The third proportional to 301,655 and 595,696 is: 1,176,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,655 : 595,696 = 595,696 : x
  2. Step 2: Convert to fraction form
    301,655/595,696 = 595,696/x
  3. Step 3: Cross multiply
    301,655x = 595,696 × 595,696
  4. Step 4: Simplify right side
    301,655x = 354,853,724,416
  5. Step 5: Solve for x
    x = 354,853,724,416/301,655
  6. Step 6: Final answer
    x = 1,176,356.18

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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.