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Finding the Third Proportional to 302,832 and 411,448.50

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Solution

The third proportional to 302,832 and 411,448.50 is: 559,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,832 : 411,448.50 = 411,448.50 : x
  2. Step 2: Convert to fraction form
    302,832/411,448.50 = 411,448.50/x
  3. Step 3: Cross multiply
    302,832x = 411,448.50 × 411,448.50
  4. Step 4: Simplify right side
    302,832x = 169,289,868,152.25
  5. Step 5: Solve for x
    x = 169,289,868,152.25/302,832
  6. Step 6: Final answer
    x = 559,022.39

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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.