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Finding the Third Proportional to 284,973 and 444,712

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Solution

The third proportional to 284,973 and 444,712 is: 693,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,973 : 444,712 = 444,712 : x
  2. Step 2: Convert to fraction form
    284,973/444,712 = 444,712/x
  3. Step 3: Cross multiply
    284,973x = 444,712 × 444,712
  4. Step 4: Simplify right side
    284,973x = 197,768,762,944
  5. Step 5: Solve for x
    x = 197,768,762,944/284,973
  6. Step 6: Final answer
    x = 693,991.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.