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Finding the Third Proportional to 305,959 and 656,210

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Solution

The third proportional to 305,959 and 656,210 is: 1,407,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,959 : 656,210 = 656,210 : x
  2. Step 2: Convert to fraction form
    305,959/656,210 = 656,210/x
  3. Step 3: Cross multiply
    305,959x = 656,210 × 656,210
  4. Step 4: Simplify right side
    305,959x = 430,611,564,100
  5. Step 5: Solve for x
    x = 430,611,564,100/305,959
  6. Step 6: Final answer
    x = 1,407,415.91

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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.