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Finding the Third Proportional to 438,229.50 and 685,023

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Solution

The third proportional to 438,229.50 and 685,023 is: 1,070,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,229.50 : 685,023 = 685,023 : x
  2. Step 2: Convert to fraction form
    438,229.50/685,023 = 685,023/x
  3. Step 3: Cross multiply
    438,229.50x = 685,023 × 685,023
  4. Step 4: Simplify right side
    438,229.50x = 469,256,510,529
  5. Step 5: Solve for x
    x = 469,256,510,529/438,229.50
  6. Step 6: Final answer
    x = 1,070,800.83

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