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Finding the Third Proportional to 302,473 and 411,036

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Solution

The third proportional to 302,473 and 411,036 is: 558,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,473 : 411,036 = 411,036 : x
  2. Step 2: Convert to fraction form
    302,473/411,036 = 411,036/x
  3. Step 3: Cross multiply
    302,473x = 411,036 × 411,036
  4. Step 4: Simplify right side
    302,473x = 168,950,593,296
  5. Step 5: Solve for x
    x = 168,950,593,296/302,473
  6. Step 6: Final answer
    x = 558,564.21

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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.