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Finding the Third Proportional to 412,493.13 and 656,364.25

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Solution

The third proportional to 412,493.13 and 656,364.25 is: 1,044,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,493.13 : 656,364.25 = 656,364.25 : x
  2. Step 2: Convert to fraction form
    412,493.13/656,364.25 = 656,364.25/x
  3. Step 3: Cross multiply
    412,493.13x = 656,364.25 × 656,364.25
  4. Step 4: Simplify right side
    412,493.13x = 430,814,028,678.06
  5. Step 5: Solve for x
    x = 430,814,028,678.06/412,493.13
  6. Step 6: Final answer
    x = 1,044,415.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.