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Finding the Third Proportional to 302,450.63 and 411,004.13

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Solution

The third proportional to 302,450.63 and 411,004.13 is: 558,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,450.63 : 411,004.13 = 411,004.13 : x
  2. Step 2: Convert to fraction form
    302,450.63/411,004.13 = 411,004.13/x
  3. Step 3: Cross multiply
    302,450.63x = 411,004.13 × 411,004.13
  4. Step 4: Simplify right side
    302,450.63x = 168,924,390,767.02
  5. Step 5: Solve for x
    x = 168,924,390,767.02/302,450.63
  6. Step 6: Final answer
    x = 558,518.90

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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.