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Finding the Third Proportional to 562,825.50 and 1,230,747

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Solution

The third proportional to 562,825.50 and 1,230,747 is: 2,691,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,825.50 : 1,230,747 = 1,230,747 : x
  2. Step 2: Convert to fraction form
    562,825.50/1,230,747 = 1,230,747/x
  3. Step 3: Cross multiply
    562,825.50x = 1,230,747 × 1,230,747
  4. Step 4: Simplify right side
    562,825.50x = 1,514,738,178,009
  5. Step 5: Solve for x
    x = 1,514,738,178,009/562,825.50
  6. Step 6: Final answer
    x = 2,691,310.50

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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.