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Finding the Third Proportional to 302,471 and 411,033

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Solution

The third proportional to 302,471 and 411,033 is: 558,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,471 : 411,033 = 411,033 : x
  2. Step 2: Convert to fraction form
    302,471/411,033 = 411,033/x
  3. Step 3: Cross multiply
    302,471x = 411,033 × 411,033
  4. Step 4: Simplify right side
    302,471x = 168,948,127,089
  5. Step 5: Solve for x
    x = 168,948,127,089/302,471
  6. Step 6: Final answer
    x = 558,559.75

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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.