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Finding the Third Proportional to 302,085 and 423,466.50

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Solution

The third proportional to 302,085 and 423,466.50 is: 593,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,085 : 423,466.50 = 423,466.50 : x
  2. Step 2: Convert to fraction form
    302,085/423,466.50 = 423,466.50/x
  3. Step 3: Cross multiply
    302,085x = 423,466.50 × 423,466.50
  4. Step 4: Simplify right side
    302,085x = 179,323,876,622.25
  5. Step 5: Solve for x
    x = 179,323,876,622.25/302,085
  6. Step 6: Final answer
    x = 593,620.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.