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Finding the Third Proportional to 262,443.80 and 562,203.28

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Solution

The third proportional to 262,443.80 and 562,203.28 is: 1,204,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,443.80 : 562,203.28 = 562,203.28 : x
  2. Step 2: Convert to fraction form
    262,443.80/562,203.28 = 562,203.28/x
  3. Step 3: Cross multiply
    262,443.80x = 562,203.28 × 562,203.28
  4. Step 4: Simplify right side
    262,443.80x = 316,072,529,448.27
  5. Step 5: Solve for x
    x = 316,072,529,448.27/262,443.80
  6. Step 6: Final answer
    x = 1,204,343.69

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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.