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Finding the Third Proportional to 402,295.50 and 794,324

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Solution

The third proportional to 402,295.50 and 794,324 is: 1,568,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,295.50 : 794,324 = 794,324 : x
  2. Step 2: Convert to fraction form
    402,295.50/794,324 = 794,324/x
  3. Step 3: Cross multiply
    402,295.50x = 794,324 × 794,324
  4. Step 4: Simplify right side
    402,295.50x = 630,950,616,976
  5. Step 5: Solve for x
    x = 630,950,616,976/402,295.50
  6. Step 6: Final answer
    x = 1,568,376.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.