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Finding the Third Proportional to 562,974.75 and 873,024.75

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Solution

The third proportional to 562,974.75 and 873,024.75 is: 1,353,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,974.75 : 873,024.75 = 873,024.75 : x
  2. Step 2: Convert to fraction form
    562,974.75/873,024.75 = 873,024.75/x
  3. Step 3: Cross multiply
    562,974.75x = 873,024.75 × 873,024.75
  4. Step 4: Simplify right side
    562,974.75x = 762,172,214,112.56
  5. Step 5: Solve for x
    x = 762,172,214,112.56/562,974.75
  6. Step 6: Final answer
    x = 1,353,830.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.