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Finding the Third Proportional to 562,846.50 and 842,730.38

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Solution

The third proportional to 562,846.50 and 842,730.38 is: 1,261,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,846.50 : 842,730.38 = 842,730.38 : x
  2. Step 2: Convert to fraction form
    562,846.50/842,730.38 = 842,730.38/x
  3. Step 3: Cross multiply
    562,846.50x = 842,730.38 × 842,730.38
  4. Step 4: Simplify right side
    562,846.50x = 710,194,484,947.64
  5. Step 5: Solve for x
    x = 710,194,484,947.64/562,846.50
  6. Step 6: Final answer
    x = 1,261,790.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.