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Finding the Third Proportional to 284,971.50 and 444,710.25

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Solution

The third proportional to 284,971.50 and 444,710.25 is: 693,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,971.50 : 444,710.25 = 444,710.25 : x
  2. Step 2: Convert to fraction form
    284,971.50/444,710.25 = 444,710.25/x
  3. Step 3: Cross multiply
    284,971.50x = 444,710.25 × 444,710.25
  4. Step 4: Simplify right side
    284,971.50x = 197,767,206,455.06
  5. Step 5: Solve for x
    x = 197,767,206,455.06/284,971.50
  6. Step 6: Final answer
    x = 693,989.42

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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.