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Finding the Third Proportional to 303,528 and 445,450.50

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Solution

The third proportional to 303,528 and 445,450.50 is: 653,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,528 : 445,450.50 = 445,450.50 : x
  2. Step 2: Convert to fraction form
    303,528/445,450.50 = 445,450.50/x
  3. Step 3: Cross multiply
    303,528x = 445,450.50 × 445,450.50
  4. Step 4: Simplify right side
    303,528x = 198,426,147,950.25
  5. Step 5: Solve for x
    x = 198,426,147,950.25/303,528
  6. Step 6: Final answer
    x = 653,732.60

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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.