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Finding the Third Proportional to 284,012 and 415,033

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Solution

The third proportional to 284,012 and 415,033 is: 606,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,012 : 415,033 = 415,033 : x
  2. Step 2: Convert to fraction form
    284,012/415,033 = 415,033/x
  3. Step 3: Cross multiply
    284,012x = 415,033 × 415,033
  4. Step 4: Simplify right side
    284,012x = 172,252,391,089
  5. Step 5: Solve for x
    x = 172,252,391,089/284,012
  6. Step 6: Final answer
    x = 606,496.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.