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Finding the Third Proportional to 303,345 and 660,493.50

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Solution

The third proportional to 303,345 and 660,493.50 is: 1,438,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,345 : 660,493.50 = 660,493.50 : x
  2. Step 2: Convert to fraction form
    303,345/660,493.50 = 660,493.50/x
  3. Step 3: Cross multiply
    303,345x = 660,493.50 × 660,493.50
  4. Step 4: Simplify right side
    303,345x = 436,251,663,542.25
  5. Step 5: Solve for x
    x = 436,251,663,542.25/303,345
  6. Step 6: Final answer
    x = 1,438,136.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.