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Finding the Third Proportional to 315,659 and 425,293

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Solution

The third proportional to 315,659 and 425,293 is: 573,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,659 : 425,293 = 425,293 : x
  2. Step 2: Convert to fraction form
    315,659/425,293 = 425,293/x
  3. Step 3: Cross multiply
    315,659x = 425,293 × 425,293
  4. Step 4: Simplify right side
    315,659x = 180,874,135,849
  5. Step 5: Solve for x
    x = 180,874,135,849/315,659
  6. Step 6: Final answer
    x = 573,004.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.