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Finding the Third Proportional to 399,295.50 and 603,102

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Solution

The third proportional to 399,295.50 and 603,102 is: 910,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,295.50 : 603,102 = 603,102 : x
  2. Step 2: Convert to fraction form
    399,295.50/603,102 = 603,102/x
  3. Step 3: Cross multiply
    399,295.50x = 603,102 × 603,102
  4. Step 4: Simplify right side
    399,295.50x = 363,732,022,404
  5. Step 5: Solve for x
    x = 363,732,022,404/399,295.50
  6. Step 6: Final answer
    x = 910,934.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.