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Finding the Third Proportional to 578,262.80 and 1,253,057.34

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Solution

The third proportional to 578,262.80 and 1,253,057.34 is: 2,715,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,262.80 : 1,253,057.34 = 1,253,057.34 : x
  2. Step 2: Convert to fraction form
    578,262.80/1,253,057.34 = 1,253,057.34/x
  3. Step 3: Cross multiply
    578,262.80x = 1,253,057.34 × 1,253,057.34
  4. Step 4: Simplify right side
    578,262.80x = 1,570,152,706,725.81
  5. Step 5: Solve for x
    x = 1,570,152,706,725.81/578,262.80
  6. Step 6: Final answer
    x = 2,715,292.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.