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Finding the Third Proportional to 255,033.56 and 558,545.63

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Solution

The third proportional to 255,033.56 and 558,545.63 is: 1,223,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,033.56 : 558,545.63 = 558,545.63 : x
  2. Step 2: Convert to fraction form
    255,033.56/558,545.63 = 558,545.63/x
  3. Step 3: Cross multiply
    255,033.56x = 558,545.63 × 558,545.63
  4. Step 4: Simplify right side
    255,033.56x = 311,973,215,206.64
  5. Step 5: Solve for x
    x = 311,973,215,206.64/255,033.56
  6. Step 6: Final answer
    x = 1,223,263.37

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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.