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Finding the Third Proportional to 302,022 and 662,169

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Solution

The third proportional to 302,022 and 662,169 is: 1,451,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,022 : 662,169 = 662,169 : x
  2. Step 2: Convert to fraction form
    302,022/662,169 = 662,169/x
  3. Step 3: Cross multiply
    302,022x = 662,169 × 662,169
  4. Step 4: Simplify right side
    302,022x = 438,467,784,561
  5. Step 5: Solve for x
    x = 438,467,784,561/302,022
  6. Step 6: Final answer
    x = 1,451,774.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.