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Finding the Third Proportional to 305,926 and 656,135

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Solution

The third proportional to 305,926 and 656,135 is: 1,407,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,926 : 656,135 = 656,135 : x
  2. Step 2: Convert to fraction form
    305,926/656,135 = 656,135/x
  3. Step 3: Cross multiply
    305,926x = 656,135 × 656,135
  4. Step 4: Simplify right side
    305,926x = 430,513,138,225
  5. Step 5: Solve for x
    x = 430,513,138,225/305,926
  6. Step 6: Final answer
    x = 1,407,245.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.