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Finding the Third Proportional to 303,540 and 445,468

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Solution

The third proportional to 303,540 and 445,468 is: 653,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,540 : 445,468 = 445,468 : x
  2. Step 2: Convert to fraction form
    303,540/445,468 = 445,468/x
  3. Step 3: Cross multiply
    303,540x = 445,468 × 445,468
  4. Step 4: Simplify right side
    303,540x = 198,441,739,024
  5. Step 5: Solve for x
    x = 198,441,739,024/303,540
  6. Step 6: Final answer
    x = 653,758.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.