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Finding the Third Proportional to 285,417 and 444,466.50

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Solution

The third proportional to 285,417 and 444,466.50 is: 692,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,417 : 444,466.50 = 444,466.50 : x
  2. Step 2: Convert to fraction form
    285,417/444,466.50 = 444,466.50/x
  3. Step 3: Cross multiply
    285,417x = 444,466.50 × 444,466.50
  4. Step 4: Simplify right side
    285,417x = 197,550,469,622.25
  5. Step 5: Solve for x
    x = 197,550,469,622.25/285,417
  6. Step 6: Final answer
    x = 692,146.82

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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.