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Finding the Third Proportional to 265,059.84 and 579,600.56

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Solution

The third proportional to 265,059.84 and 579,600.56 is: 1,267,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,059.84 : 579,600.56 = 579,600.56 : x
  2. Step 2: Convert to fraction form
    265,059.84/579,600.56 = 579,600.56/x
  3. Step 3: Cross multiply
    265,059.84x = 579,600.56 × 579,600.56
  4. Step 4: Simplify right side
    265,059.84x = 335,936,812,050.32
  5. Step 5: Solve for x
    x = 335,936,812,050.32/265,059.84
  6. Step 6: Final answer
    x = 1,267,399.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.