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Finding the Third Proportional to 305,952 and 656,157

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Solution

The third proportional to 305,952 and 656,157 is: 1,407,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952 : 656,157 = 656,157 : x
  2. Step 2: Convert to fraction form
    305,952/656,157 = 656,157/x
  3. Step 3: Cross multiply
    305,952x = 656,157 × 656,157
  4. Step 4: Simplify right side
    305,952x = 430,542,008,649
  5. Step 5: Solve for x
    x = 430,542,008,649/305,952
  6. Step 6: Final answer
    x = 1,407,220.77

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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.