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Finding the Third Proportional to 562,818.75 and 1,230,732.75

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Solution

The third proportional to 562,818.75 and 1,230,732.75 is: 2,691,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,818.75 : 1,230,732.75 = 1,230,732.75 : x
  2. Step 2: Convert to fraction form
    562,818.75/1,230,732.75 = 1,230,732.75/x
  3. Step 3: Cross multiply
    562,818.75x = 1,230,732.75 × 1,230,732.75
  4. Step 4: Simplify right side
    562,818.75x = 1,514,703,101,922.56
  5. Step 5: Solve for x
    x = 1,514,703,101,922.56/562,818.75
  6. Step 6: Final answer
    x = 2,691,280.46

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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.