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Finding the Third Proportional to 302,469 and 411,031

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Solution

The third proportional to 302,469 and 411,031 is: 558,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,469 : 411,031 = 411,031 : x
  2. Step 2: Convert to fraction form
    302,469/411,031 = 411,031/x
  3. Step 3: Cross multiply
    302,469x = 411,031 × 411,031
  4. Step 4: Simplify right side
    302,469x = 168,946,482,961
  5. Step 5: Solve for x
    x = 168,946,482,961/302,469
  6. Step 6: Final answer
    x = 558,558.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.