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Finding the Third Proportional to 302,882 and 475,196

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Solution

The third proportional to 302,882 and 475,196 is: 745,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,882 : 475,196 = 475,196 : x
  2. Step 2: Convert to fraction form
    302,882/475,196 = 475,196/x
  3. Step 3: Cross multiply
    302,882x = 475,196 × 475,196
  4. Step 4: Simplify right side
    302,882x = 225,811,238,416
  5. Step 5: Solve for x
    x = 225,811,238,416/302,882
  6. Step 6: Final answer
    x = 745,541.96

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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.