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Finding the Third Proportional to 355,650.75 and 632,356.88

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Solution

The third proportional to 355,650.75 and 632,356.88 is: 1,124,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,650.75 : 632,356.88 = 632,356.88 : x
  2. Step 2: Convert to fraction form
    355,650.75/632,356.88 = 632,356.88/x
  3. Step 3: Cross multiply
    355,650.75x = 632,356.88 × 632,356.88
  4. Step 4: Simplify right side
    355,650.75x = 399,875,217,359.77
  5. Step 5: Solve for x
    x = 399,875,217,359.77/355,650.75
  6. Step 6: Final answer
    x = 1,124,348.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.