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Finding the Third Proportional to 302,896.69 and 475,197.47

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Solution

The third proportional to 302,896.69 and 475,197.47 is: 745,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,896.69 : 475,197.47 = 475,197.47 : x
  2. Step 2: Convert to fraction form
    302,896.69/475,197.47 = 475,197.47/x
  3. Step 3: Cross multiply
    302,896.69x = 475,197.47 × 475,197.47
  4. Step 4: Simplify right side
    302,896.69x = 225,812,634,306.41
  5. Step 5: Solve for x
    x = 225,812,634,306.41/302,896.69
  6. Step 6: Final answer
    x = 745,510.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.