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Finding the Third Proportional to 305,902.50 and 656,077.50

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Solution

The third proportional to 305,902.50 and 656,077.50 is: 1,407,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,902.50 : 656,077.50 = 656,077.50 : x
  2. Step 2: Convert to fraction form
    305,902.50/656,077.50 = 656,077.50/x
  3. Step 3: Cross multiply
    305,902.50x = 656,077.50 × 656,077.50
  4. Step 4: Simplify right side
    305,902.50x = 430,437,686,006.25
  5. Step 5: Solve for x
    x = 430,437,686,006.25/305,902.50
  6. Step 6: Final answer
    x = 1,407,107.45

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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.