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Finding the Third Proportional to 420,168 and 651,676.50

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Solution

The third proportional to 420,168 and 651,676.50 is: 1,010,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,168 : 651,676.50 = 651,676.50 : x
  2. Step 2: Convert to fraction form
    420,168/651,676.50 = 651,676.50/x
  3. Step 3: Cross multiply
    420,168x = 651,676.50 × 651,676.50
  4. Step 4: Simplify right side
    420,168x = 424,682,260,652.25
  5. Step 5: Solve for x
    x = 424,682,260,652.25/420,168
  6. Step 6: Final answer
    x = 1,010,743.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.