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Finding the Third Proportional to 303,526 and 445,448

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Solution

The third proportional to 303,526 and 445,448 is: 653,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,526 : 445,448 = 445,448 : x
  2. Step 2: Convert to fraction form
    303,526/445,448 = 445,448/x
  3. Step 3: Cross multiply
    303,526x = 445,448 × 445,448
  4. Step 4: Simplify right side
    303,526x = 198,423,920,704
  5. Step 5: Solve for x
    x = 198,423,920,704/303,526
  6. Step 6: Final answer
    x = 653,729.57

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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.