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Finding the Third Proportional to 302,284 and 444,210

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Solution

The third proportional to 302,284 and 444,210 is: 652,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,284 : 444,210 = 444,210 : x
  2. Step 2: Convert to fraction form
    302,284/444,210 = 444,210/x
  3. Step 3: Cross multiply
    302,284x = 444,210 × 444,210
  4. Step 4: Simplify right side
    302,284x = 197,322,524,100
  5. Step 5: Solve for x
    x = 197,322,524,100/302,284
  6. Step 6: Final answer
    x = 652,771.98

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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.