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Finding the Third Proportional to 303,582.94 and 452,914.03

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Solution

The third proportional to 303,582.94 and 452,914.03 is: 675,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,582.94 : 452,914.03 = 452,914.03 : x
  2. Step 2: Convert to fraction form
    303,582.94/452,914.03 = 452,914.03/x
  3. Step 3: Cross multiply
    303,582.94x = 452,914.03 × 452,914.03
  4. Step 4: Simplify right side
    303,582.94x = 205,131,119,703.13
  5. Step 5: Solve for x
    x = 205,131,119,703.13/303,582.94
  6. Step 6: Final answer
    x = 675,700.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.