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Finding the Third Proportional to 301,659 and 595,702

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Solution

The third proportional to 301,659 and 595,702 is: 1,176,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,659 : 595,702 = 595,702 : x
  2. Step 2: Convert to fraction form
    301,659/595,702 = 595,702/x
  3. Step 3: Cross multiply
    301,659x = 595,702 × 595,702
  4. Step 4: Simplify right side
    301,659x = 354,860,872,804
  5. Step 5: Solve for x
    x = 354,860,872,804/301,659
  6. Step 6: Final answer
    x = 1,176,364.28

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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.