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Finding the Third Proportional to 302,598 and 411,163.50

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Solution

The third proportional to 302,598 and 411,163.50 is: 558,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,598 : 411,163.50 = 411,163.50 : x
  2. Step 2: Convert to fraction form
    302,598/411,163.50 = 411,163.50/x
  3. Step 3: Cross multiply
    302,598x = 411,163.50 × 411,163.50
  4. Step 4: Simplify right side
    302,598x = 169,055,423,732.25
  5. Step 5: Solve for x
    x = 169,055,423,732.25/302,598
  6. Step 6: Final answer
    x = 558,679.91

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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.